850 results
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2. Mathematical Analysis of the Impact of French Standardization Strategy and Electric Vehicle Development on the Breakthrough Development of EVs in China.
- Author
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Wu, Linfeng, Liu, Junhui, Liu, Peng, and Cong, Dan
- Subjects
MATHEMATICAL analysis ,INTERNAL combustion engines ,STANDARDIZATION ,STATISTICAL software ,DATABASES - Abstract
The problems of operating range and costs are the two most critical bottlenecks restricting the extensive application of electric vehicles (EVs) in China and some other countries. There are also some prominent problems in China's EVs, which lead to poor competitiveness of EVs compared with traditional internal combustion engine vehicles. This paper analyzes the key mathematical factors restricting the development and popularization of EVs in China from the aspects of strategic policy, sales situation, and self-problems. For the best-selling family cars in China, select the representative models with the same body structure, and make statistics on various parameters most concerned by consumers, establish a database through data statistics and analysis software. Through summarizing France's standardization development strategy and relevant issues reflected by the development data of its EVs, this paper puts forward the hypothesis leading the development of EVs through standardization to enhance their competitiveness, gives the specific suggestions, and briefly analyzes the feasibility from the aspects of product situation. The research content of this paper provides a certain basis and ideas for the future research work. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
3. Structural Health Monitoring-Oriented Data Mining, Feature Extraction, and Condition Assessment.
- Author
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Ting-Hua Yi, Stiros, Stathis C., Xiao-Wei Ye, and Jun Li
- Subjects
STRUCTURAL health monitoring ,DATA mining ,FEATURE extraction ,DATA extraction ,CIVIL engineering ,MATHEMATICAL analysis - Published
- 2014
- Full Text
- View/download PDF
4. Mathematical Tools of Soft Computing.
- Author
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Ker-Wei Yu, Yang Xu, and Jer-Guang Hsieh
- Subjects
SOFT computing ,GENETIC algorithms ,EVOLUTIONARY algorithms ,APPROXIMATION theory ,MULTIVARIATE analysis ,MATHEMATICAL analysis - Published
- 2014
- Full Text
- View/download PDF
5. Representing Smoothed Spectrum Estimate with the Cauchy Integral
- Author
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Ming Li
- Subjects
Signal processing ,Quantitative Biology::Neurons and Cognition ,Article Subject ,Physics::Instrumentation and Detectors ,lcsh:Mathematics ,General Mathematics ,Astrophysics::High Energy Astrophysical Phenomena ,Short paper ,Mathematical analysis ,Spectrum (functional analysis) ,General Engineering ,Spectral density ,lcsh:QA1-939 ,Computer Science::Numerical Analysis ,lcsh:TA1-2040 ,Physics::Space Physics ,lcsh:Engineering (General). Civil engineering (General) ,Cauchy's integral formula ,Mathematics - Abstract
Estimating power spectrum density (PSD) is essential in signal processing. This short paper gives a theorem to represent a smoothed PSD estimate with the Cauchy integral. It may be used for the approximation of the smoothed PSD estimate.
- Published
- 2012
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- View/download PDF
6. An Empirical Study on Coordinated Development between Ecological Environment and Regional Economy by Big Data Mathematical Model Analysis in Tibetan Area.
- Author
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Gao, Li, Fu, Liping, and Tsai, Sang-Bing
- Subjects
MATHEMATICAL analysis ,MATHEMATICAL models ,SUSTAINABLE development ,ECONOMIC indicators ,BIG data - Abstract
The cold and high altitude Tibetan area (hereinafter referred to as Tibetan area) is a special geographical area in western China. Whether the local economic development and EE (ecological environment) are coordinated or not directly affects the sustained and healthy economic and social development of the whole Tibetan area. Firstly, this paper discusses the relationship between economic growth and EE on the basis of existing related theoretical research. Then, 15 indicators of economic system and environmental system were selected, and the coupling degree model and coupling coordination degree model were constructed to quantitatively analyze the dynamic model of regional economic and EE coupling and coordinated development in Tibetan areas from 2010 to 2020. The research found that in the past 11 years, the comprehensive index of EE of four regions in Tibetan areas has changed from 0.5 to 0.6, and the comprehensive index of the economy of four regions in Tibetan areas has changed from 0.51 to 0.74. On the whole, the coordination degree and coordinated development degree of green development in Tibetan areas have changed at the same time compared with the years, and since 2016, both of them have had the same trend and both of them are beginning to develop in a good direction. Since 2017, the economic development has been relatively advanced, while the EE has lagged behind, showing a fluctuating state, while the level of coordinated development has been continuously improved. This study has certain reference value for promoting ecological protection and green development in Tibetan areas. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
7. Self-Organized Criticality and Trend Analysis in Time Series of Blackouts for the China Power Grid.
- Author
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Yu, Qun, Cao, Na, Liu, Qilin, Qu, Yuqing, and Zhang, Yumin
- Subjects
TIME series analysis ,ELECTRIC power distribution grids ,ELECTRIC power failures ,TREND analysis ,MATHEMATICAL statistics ,SYSTEM analysis ,MATHEMATICAL analysis - Abstract
This paper proposes effective evidence on the correlation between trend and self-organized criticality (SOC) of the power outage sequence in China. Taking the data series of blackouts from 1981 to 2014 in the China power grid as the research object, the method of V / S is introduced into the analysis of the power system blackout sequence to demonstrate their prominent long-time correlations. It also verifies the probability distribution of load loss about blackout size in the China power grid has a tail feature, which shows that the time series of blackouts in the China power grid is consistent with SOC. Meanwhile, a kind of mathematical statistics analysis is presented to prove that there is a seasonal trend of blackouts, and the blackout frequency and blackout size have not decreased over time but have an upward trend in the China power grid, thereby indicating that blackout risk may be increasing with time. The last 34 years' data samples of power failure accidents in the China power grid are used to test the proposed method, and the numerical results show that the proposed self-organized criticality and trend analysis method can pave the way for further exploration of the mechanism of power failure in the China power grid. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
8. A Model for the Spacing of Quicklime Pile to Treat High Water Content Loess.
- Author
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Guo, Hong, Nan, Yalin, Guo, Rui, and Fu, Jiangtao
- Subjects
LOESS ,MATHEMATICAL analysis ,REFERENCE values ,WATER use ,MATHEMATICAL models ,LIME (Minerals) - Abstract
There has been a long history for foundation treatment by quicklime pile, but as for establishing a more precise model formula used by actual construction, further research is needed to be done at present. Therefore, how to quantitate the factors affecting pile spacing is of great reference value for both actual constructions and theoretical studies. Based on the reference formula for handling weak foundation by lime pile and the practical problems in the western region, mathematical model analysis method is used to get a new model for high water content loess foundation treatment after considering the factors such as pile expanding, construction method, piles arrangement, and calcium oxide content. In this model, pile spacing coefficient is created and the model formula for different construction methods and different pile arrangements is also given. As a result, the reference formula used in high water content loess is somewhat conservative. The new model is also verified to be rational by the actual works at the end of the paper. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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9. Capacity Policy for an OEM under Production Ramp-Up and Demand Diffusion.
- Author
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Chang, Chung-Ho and Chen, Jen-Ming
- Subjects
CONSUMER goods ,MANUFACTURING processes ,MATHEMATICAL analysis ,DYNAMICAL systems ,NEW product development - Abstract
This paper presents a study on capacity policy for an OEM, launching a new short life cycle consumer durable product, and undergoes a demand diffusion process and a production ramp-up process with learning. The demand/supply dynamic system is described by the Bass diffusion demand rate and time constant production rate. The mismatch of demand peak and production plateau creates challenges for balancing the interactive trajectories. Indivisible lumpy capacity increments in the production network exacerbate the difficulty. In conjunction with mathematical and graphical analysis and computation power, we model a discrete optimization model (running on CPLEX) to investigate "how the OEM should determine an optimal capacity size" and "when to market the new product and expand capacity" under various Bass parameters, which describe the behavior intensity of the innovation and imitation of new product consumers. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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10. Control, Analysis, and Modeling of Vehicular Systems.
- Author
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Cervantes, Ilse, Williamson, Sheldon S., Davoudi, Ali, and Alvarez-Icaza, Luis
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VEHICULAR ad hoc networks ,MATHEMATICAL analysis ,CONTROL theory (Engineering) ,MATHEMATICAL models ,AUTOMATIC control systems - Published
- 2014
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11. Optimization of a Pumped-Storage Fixed-Head Hydroplant: The Bang-Singular-Bang Solution.
- Author
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Bayón, L., Grau, J. M., Ruiz, M. M., and Suárez, P. M.
- Subjects
PUMPED storage power plants ,MATHEMATICAL optimization ,CONTROL theory (Engineering) ,ALGORITHMS ,MATHEMATICAL analysis - Abstract
We consider the problem of the optimization of the functioning of a pumped-storage hydroplant. The problem can be mathematically formulated as an optimal control problem, and when the considered hydromodel is of the fixed-head type, an added complication arises: the solution is of the bangsingular-bang type. In this paper, we propose a simple and efficient optimization algorithm to find the solution. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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12. Stability Analysis of Time-Varying Delay Systems with an Improved Type of LKF.
- Author
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Wang, Wenhao, Zhu, Hong, Shi, Kaibo, Zhong, Shouming, and Zhao, Can
- Subjects
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TIME-varying systems , *STABILITY of linear systems , *MATHEMATICAL inequalities , *MATHEMATICAL analysis - Abstract
This paper further investigates the problem of stability for a general linear system with time-varying delays. Firstly an improved type of Lyapunov–Krasovskii functional is introduced with integral and nonintegral terms and time-correlation terms. Referring a few existing papers, some valid inequalities mathematical analysis techniques are used in this paper in order to reduce the conservatism of the system. Finally, two examples are presented to demonstrate the advantages of the proposed tactics in this paper. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
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13. Mathematical Models in Humanitarian Supply Chain Management: A Systematic Literature Review.
- Author
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Habib, Muhammad Salman, Lee, Young Hae, and Memon, Muhammad Saad
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MATHEMATICAL models ,SUPPLY chain management ,LITERATURE reviews ,ALGORITHMS ,MATHEMATICAL analysis - Abstract
In the past decade the humanitarian supply chain (HSC) has attracted the attention of researchers due to the increasing frequency of disasters. The uncertainty in time, location, and severity of disaster during predisaster phase and poor conditions of available infrastructure during postdisaster phase make HSC operations difficult to handle. In order to overcome the difficulties during these phases, we need to assure that HSC operations are designed in an efficient manner to minimize human and economic losses. In the recent times, several mathematical optimization techniques and algorithms have been developed to increase the efficiency of HSC operations. These techniques and algorithms developed for the field of HSC motivate the need of a systematic literature review. Owing to the importance of mathematical modelling techniques, this paper presents the review of the mathematical contributions made in the last decade in the field of HSC. A systematic literature review methodology is used for this paper due to its transparent procedure. There are two objectives of this study: the first one is to conduct an up-to-date survey of mathematical models developed in HSC area and the second one is to highlight the potential research areas which require attention of the researchers. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
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14. Mathematical Analysis and an Exact Solution Combined with Preprocessing Method for Resynchronizing of Bus Timetable Problem.
- Author
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Wu, Yinghui, Zhu, Yifan, and Cao, Tianyu
- Subjects
MATHEMATICAL analysis ,BUS schedules ,TRANSPORTATION schedules ,MIXED integer linear programming ,ALGORITHMS - Abstract
Bus timetabling is a subproblem of bus network planning, and it determines departure time of each trip of lines to make vehicles from different lines synchronously arrive at transfer stations. Due to the well-designed coordination of bus timetables, passengers can make a smooth transfer without waiting a long time for connecting buses. This paper addresses the planning level of resynchronizing of bus timetable problem allowing modifications to initial timetable. Timetable modifications consist of shifts in the departure times and headways. A single-objective mixed-integer programming model is proposed for this problem to maximize the number of total transferring passengers benefiting from smooth transfers. We analyze the mathematical properties of this model, and then a preprocessing method is designed to reduce the solution space of the proposed model. The numerical results show that the reduced model is effectively solved by branch and bound algorithm, and the preprocessing method has the potential to be applied for large-scale bus networks. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
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15. Extensions of Hölder’s Inequality via Pseudo-Integral.
- Author
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Tian, Jing-Feng and Ha, Ming-Hu
- Subjects
MODERN mathematics (Education) ,MATHEMATICAL inequalities ,MATHEMATICS theorems ,NUMERICAL analysis ,MATHEMATICAL analysis ,DIFFERENTIAL equations - Abstract
Hölder’s inequality and its various extensions are playing very important roles in many branches of modern mathematics and physics. In this paper, we present some extensions of Hölder’s inequality via pseudo-integral. Moreover, some related Hölder type inequalities are also given. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
16. Mathematical Analysis of Nonlocal Implicit Impulsive Problem under Caputo Fractional Boundary Conditions.
- Author
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Ali, Arshad, Gupta, Vidushi, Abdeljawad, Thabet, Shah, Kamal, and Jarad, Fahd
- Subjects
MATHEMATICAL analysis ,CAPUTO fractional derivatives ,FRACTIONAL differential equations ,STABILITY theory - Abstract
This paper is related to frame a mathematical analysis of impulsive fractional order differential equations (IFODEs) under nonlocal Caputo fractional boundary conditions (NCFBCs). By using fixed point theorems of Schaefer and Banach, we analyze the existence and uniqueness results for the considered problem. Furthermore, we utilize the theory of stability for presenting Hyers-Ulam, generalized Hyers-Ulam, Hyers-Ulam-Rassias, and generalized Hyers-Ulam-Rassias stability results of the proposed scheme. Finally, some applications are offered to demonstrate the concept and results. The whole analysis is carried out by using Caputo fractional derivatives (CFDs). [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
17. A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis.
- Author
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Huaiqin Wu, Rui Shi, Leijie Qin, Feng Tao, and Lijun He
- Subjects
ARTIFICIAL neural networks ,ENGINEERING ,METHOD of steepest descent (Numerical analysis) ,NUMERICAL analysis ,MATHEMATICAL analysis - Abstract
This paper presents a nonlinear projection neural network for solving interval quadratic programs subject to box-set constraints in engineering applications. Based on the Saddle point theorem, the equilibrium point of the proposed neural network is proved to be equivalent to the optimal solution of the interval quadratic optimization problems. By employing Lyapunov function approach, the global exponential stability of the proposed neural network is analyzed. Two illustrative examples are provided to show the feasibility and the efficiency of the proposed method in this paper. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
- View/download PDF
18. Dynamic Analysis of a Tumor-Immune System under Allee Effect.
- Author
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Zeng, Chunmei and Ma, Shaojuan
- Subjects
ALLEE effect ,SYSTEM analysis ,MATHEMATICAL analysis ,NUMBER systems ,EQUILIBRIUM - Abstract
In this paper, we develop a definite tumor-immune model considering Allee effect. The deterministic model is studied qualitatively by mathematical analysis method, including the positivity, boundness, and local stability of the solution. In addition, we explore the effect of random factors on the transition of the tumor-immune system from a stable coexistence equilibrium point to a stable tumor-free equilibrium point. Based on the method of stochastic averaging, we obtain the expressions of the steady-state probability density and the mean first-passage time. And we find that the Allee effect has the greatest impact on the number of cells in the system when the Allee threshold value is within a certain range; the intensity of random factors could affect the likelihood of the system crossing from the coexistence equilibrium to the tumor-free equilibrium. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
19. A Graphical-Based Mathematical Model for Simulating Excitability in a Single Cardiac Cell.
- Author
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Sabzpoushan, S. H. and Ghajarjazy, A.
- Subjects
HEART cells ,MATHEMATICAL models ,BIOLOGICAL systems ,PHASE space ,MATHEMATICAL analysis - Abstract
Excitability is a phenomenon seen in different kinds of systems, e.g., biological systems. Cardiac cells and neurons are well-known examples of excitable biological systems. Excitability as a crucial property should be involved in mathematical models of cardiac cells, along with the other biological properties. Excitability of mathematical cardiac-cell models is usually investigated in the phase plane (or the phase space) which is not applicable with simple mathematical analysis. Besides, the possible roles of each model parameter in the excitability property cannot be investigated explicitly and independently using phase plane analysis. In this paper, we present a new graphical-based method for designing excitability of a single cardiac cell. Each parameter in the presented approach not only has electrophysiological interpretation but also its role in regulating excitability is evident and can be analysed explicitly. Our approach is simpler and more tractable by mathematical analysis than the phase plane method. Another advantage of our approach is that the other important feature of the cardiac cell action potential, i.e., plateau morphology, can be designed and regulated separately from the excitability property. To evaluate our presented approach, we applied it for simulating excitability in well-known complex electrophysiological models of ventricular and atrial cells. Results show that our model can simulate excitability and time evolution of the plateau phase simultaneously. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
20. Mathematical and Mechanical Analysis of the Effect of Detonator Location and Its Improvement in Bench Blasting.
- Author
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Gao, Qidong, Leng, Zhendong, Yang, Ruipeng, Wang, Yaqiong, Chen, Ming, Sun, Pengchang, and Luo, Sheng
- Subjects
BLASTING ,DETONATORS ,MATHEMATICAL analysis ,DETONATION waves ,BLAST effect ,BENCHES - Abstract
The outcome of bench blasting significantly affects the downstream operations in mining. In bench blasting, the explosives charged in blastholes are generally cylindrically shaped and fired by the in-hole detonator. As the detonator determines the propagation of the detonation wave in the cylindrical charge, the effect of detonator location can never be ignored. In this paper, the mathematics and mechanics of the effect of detonator location was analyzed from the view of the distribution of explosion energy and blast stress field of a cylindrical charge. Then, a field blasting experiment and two numerical simulations were conducted to further display its effect on blasting outcomes. At last, the appearance of oversize boulders and rock toes in bench blasting was discussed, and an improved scheme of the detonator location was proposed to cope with these problems. Results indicate that the in-hole detonator has the capacity of adjusting the spatial distribution of explosion energy and blast stress field in the surrounding rock mass. The traditional recommendation of the bottom detonator is not always right. The optimized detonator location in bench blasting is available by properly combining the merits of traditional detonator locations. This study is of interest to improve the efficiency and reduce the cost of mining. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
21. New Challenges in Fractional Systems 2014.
- Author
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Maione, Guido, Nigmatullin, Raoul R., Tenreiro Machado, José A., and Sabatier, Jocelyn
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FRACTIONAL calculus ,MATHEMATICAL analysis ,MATHEMATICAL models ,DIFFERENTIAL equations ,THEORY of wave motion - Published
- 2015
- Full Text
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22. An Optimal Identification of the Input-Output Disturbances in Linear Dynamic Systems by the Use of the Exact Observation of the State.
- Author
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Byrski, Jędrzej and Byrski, Witold
- Subjects
INPUT-output analysis ,LINEAR dynamical systems ,MATHEMATICAL errors ,ESTIMATION theory ,MATHEMATICAL analysis - Abstract
A new methodology for the identification of the values of unknown disturbance signals acting in the input and output measurements of the dynamic linear system is presented. For the solution of this problem, the new idea of the use of two different state observers, which are coworking simultaneously in parallel, was elaborated. Special integral type observers are operating on the same finite time window of the width T and both can reconstruct the exact value of the vector state x(T) on the basis of input-output measurements in this interval [0, T]. If in the input-output signals the disturbances are absent (measurements of I/O signals are perfect) then both observers (although they are different) reconstruct the exact and the same state x(T). However, if in the measurement signals the disturbances are present then these observers will reconstruct the different values of the final states x1(T)=x(T)+e1(T) and x2(T)=x(T)+e2(T). It is because they have different norms and hence they generate different errors in both estimated states. Because of the disturbances, the real state x(T) is unknown, but it is easy to calculate the state difference: x1(T)-x2(T)=e1(T)-e2(T). It occurs that, based on this difference, the values of all the disturbances acting during the control process can be identified. In the paper, the theory of the exact state observation and application of such observers in online mode is recalled. The new methodology for disturbances identification is presented. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
23. Damage Identification in Timber Structures Based on Wavelet Singular Spectrum Entropy.
- Author
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Li, Shengcai, Zhang, Lei, Tang, Jie, Ling, Daijian, and Wang, Peixuan
- Subjects
VIBRATION (Mechanics) ,TIMBER ,ENTROPY ,NUMERICAL analysis ,MATHEMATICAL analysis - Abstract
Vibration responses of building structure closely related to the structural health status. In this paper, wavelet singular spectrum entropy (WSSE) is proposed to evaluate the damage condition of building structure. A 1/3 scaled model of a Chinese ancient timber structure has been constructed, and three damage conditions and one restored condition of the structure are simulated. The acceleration responses for undamaged and the four simulated damaged and restored conditions are measured and analyzed by employing WSSE to identify the location at which the structure has incurred damage. Results show that (1) the relative variation rate of WSSE for the damaged position changes significantly; (2) the relative variation rate of WSSE of the point that is damaged more severely would become higher; and (3) signals of North-South and East-West directions are required for further identification. Moreover, a finite element modeling analysis of the timber structure under different damage conditions is performed, and the results verify the applicability of the method proposed. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
24. A New Direct Speed Estimation and Control of the Induction Machine Benchmark: Design and Experimental Validation.
- Author
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Hmidet, Ali, Dhifaoui, Rachid, and Hasnaoui, Othman
- Subjects
DETECTORS ,ELECTRIC currents ,ELECTRIC potential ,NUMERICAL analysis ,MATHEMATICAL analysis - Abstract
Speed sensorless control schemes have potential benefits for industrial applications because they contribute to reducing process cost and they avoid using fragile sensors as encoders or resolvers in hostile environment. In addition, simplicity, reliability, and fast response of control structures to signal commands are much-needed features. In this paper, a new Speed Sensorless Direct Control (SSDC) technique allowing the achievement of these objectives is proposed. This technique combines Field Oriented Control (FOC) and Direct Torque Control (DTC) properties in the same approach. The estimated speed is reached only according to the measured current and voltage of the stator. DTC is extended to speed sensorless direct control with any notable modification. The proposed scheme is implemented to the induction machine benchmark and evaluated in real time under various possible scenarios of use. Experimental results show that the proposed SSDC has interesting capabilities to conduct induction motor in real time operation with good accuracy. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
25. Localization Algorithm Based on Iterative Centroid Estimation for Wireless Sensor Networks.
- Author
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Jiang, Rui, Wang, Xin, and Zhang, Li
- Subjects
ALGORITHMS ,WIRELESS sensor networks ,NUMERICAL analysis ,MATHEMATICAL analysis ,COMPUTER simulation - Abstract
According to the application of range-free localization technology for wireless sensor networks (WSNs), an improved localization algorithm based on iterative centroid estimation is proposed in this paper. With this methodology, the centroid coordinate of the space enclosed by connected anchor nodes and the received signal strength indication (RSSI) between the unknown node and the centroid are calculated. Then, the centroid is used as a virtual anchor node. It is proven that there is at least one connected anchor node whose distance from the unknown node must be farther than the virtual anchor node. Hence, in order to reduce the space enclosed by connected anchor nodes and improve the location precision, the anchor node with the weakest RSSI is replaced by this virtual anchor node. By applying this procedure repeatedly, the localization algorithm can achieve a good accuracy. Observing from the simulation results, the proposed algorithm has strong robustness and can achieve an ideal performance of localization precision and coverage. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
26. Model Selection Approaches for Predicting Future Order Statistics from Type II Censored Data.
- Author
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Chiang, Jyun-You, Wang, Shuai, Tsai, Tzong-Ru, and Li, Ting
- Subjects
COMPUTER simulation ,DATABASES ,MONTE Carlo method ,NUMERICAL analysis ,MATHEMATICAL analysis - Abstract
This paper studies a discriminant problem of location-scale family in case of prediction from type II censored samples. Three model selection approaches and two types of predictors are, respectively, proposed to predict the future order statistics from censored data when the best underlying distribution is not clear with several candidates. Two members in the location-scale family, the normal distribution and smallest extreme value distribution, are used as candidates to illustrate the best model competition for the underlying distribution via using the proposed prediction methods. The performance of correct and incorrect selections under correct specification and misspecification is evaluated via using Monte Carlo simulations. Simulation results show that model misspecification has impact on the prediction precision and the proposed three model selection approaches perform well when more than one candidate distributions are competing for the best underlying distribution. Finally, the proposed approaches are applied to three data sets. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
27. A Consensus Reaching Model with Minimum Adjustments in Interval-Valued Intuitionistic MAGDM.
- Author
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Xu, Gai-li
- Subjects
GROUP decision making ,FUZZY sets ,TAXICAB geometry ,MATRICES (Mathematics) ,MATHEMATICAL analysis ,MATHEMATICAL models - Abstract
This paper focuses on multiattribute group decision-making problems with interval-valued intuitionistic fuzzy values (IVIFVs) and develops a consensus reaching model with minimum adjustments to improve the consensus among decision-makers (DMs). To check the consensus, a consensus index is introduced by measuring the distance between each decision matrix and the collective one. For the group decision-making with unacceptable consensus, Consensus Rule 1 and Consensus Rule 2 are, respectively, proposed by minimizing adjustment amounts of individual decision matrices. According to these two consensus rules, two algorithms are devised to help DMs reach acceptable consensus. Moreover, the convergences of algorithms are proved. To determine weights of attributes, an interval-valued intuitionistic fuzzy program is constructed by maximizing comprehensive values of alternatives. Finally, alternatives are ranked based on their comprehensive values. Thereby, a novel method is proposed to solve MAGDM with IVIFVs. At length, a numerical example is examined to illustrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
28. Hesitant Probabilistic Fuzzy Preference Relations in Decision Making.
- Author
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Bashir, Zia, Rashid, Tabasam, and Iqbal, Mobashir
- Subjects
FUZZY logic ,PROBABILITY theory ,COMPUTER algorithms ,DECISION support systems ,MATHEMATICAL analysis - Abstract
Preference of an alternative over another alternative is a useful way to express the opinion of decision maker. In the process of group decision making, preference relations are used in preference modelling of the alternatives under given criteria. The probability is an important tool to deal with uncertainty; in many scenarios of decision making probabilities of different events affect the decision making process directly. In order to deal with this issue, in this paper, hesitant probabilistic fuzzy preference relation (HPFPR) is defined. Furthermore, consistency of HPFPR and consensus among decision makers are studied in the hesitant probabilistic fuzzy environment. In this respect, many novel algorithms are developed to achieve consistency of HPFPRs and reasonable consensus between decision makers and a final algorithm is proposed comprehending all other algorithms, presenting a complete decision support model for group decision making. Lastly, we present a case study with complete illustration of the proposed model and discussed the effects of probabilities on decision making validating the importance of the introduction of probability in hesitant fuzzy preference relation. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
29. Mathematical Applications to Reliability and Maintenance Problems in Engineering Systems.
- Author
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Wang, Wenbin, Scarf, Philip, Wu, Shaomin, and Zio, Enrico
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ENGINEERING systems ,RELIABILITY in engineering ,MATHEMATICAL analysis ,PROBLEM solving ,MATHEMATICAL models - Published
- 2015
- Full Text
- View/download PDF
30. A Filled Function Approach for Nonsmooth Constrained Global Optimization.
- Author
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Weixiang Wang, Youlin Shang, and Ying Zhang
- Subjects
MATHEMATICAL optimization ,ALGORITHMS ,MATHEMATICS ,MATHEMATICAL analysis ,NUMERICAL analysis - Abstract
A novel filled function is given in this paper to find a global minima for a nonsmooth constrained optimization problem. First, a modified concept of the filled function for nonsmooth constrained global optimization is introduced, and a filled function, which makes use of the idea of the filled function for unconstrained optimization and penalty function for constrained optimization, is proposed. Then, a solution algorithm based on the proposed filled function is developed. At last, some preliminary numerical results are reported. The results show that the proposed approach is promising. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
- View/download PDF
31. A New Calculation Method of Dynamic Kill Fluid Density Variation during Deep Water Drilling.
- Author
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Fan, Honghai, Deng, Song, Ren, Weiyan, Duan, Xili, Cui, Cong, and Yang, Jing
- Subjects
- *
WATER well drilling , *LIQUID density , *FLUID dynamics , *NONLINEAR regression , *MATHEMATICAL analysis - Abstract
There are plenty of uncertainties and enormous challenges in deep water drilling due to complicated shallow flow and deep strata of high temperature and pressure. This paper investigates density of dynamic kill fluid and optimum density during the kill operation process in which dynamic kill process can be divided into two stages, that is, dynamic stable stage and static stable stage. The dynamic kill fluid consists of a single liquid phase and different solid phases. In addition, liquid phase is a mixture of water and oil. Therefore, a new method in calculating the temperature and pressure field of deep water wellbore is proposed. The paper calculates the changing trend of kill fluid density under different temperature and pressure by means of superposition method, nonlinear regression, and segment processing technique. By employing the improved model of kill fluid density, deep water kill operation in a well is investigated. By comparison, the calculated density results are in line with the field data. The model proposed in this paper proves to be satisfactory in optimizing dynamic kill operations to ensure the safety in deep water. [ABSTRACT FROM AUTHOR]
- Published
- 2017
- Full Text
- View/download PDF
32. An Improved Nondominated Sorting Genetic Algorithm for Multiobjective Problem.
- Author
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Wang, Ruihua
- Subjects
- *
GENETIC algorithms , *PROBLEM solving , *MATHEMATICAL optimization , *SIMULATION methods & models , *MATHEMATICAL analysis - Abstract
In this paper, an improved NSGA2 algorithm is proposed, which is used to solve the multiobjective problem. For the original NSGA2 algorithm, the paper made one improvement: joining the local search strategy into the NSGA2 algorithm. After each iteration calculation of the NSGA2 algorithm, a kind of local search strategy is performed in the Pareto optimal set to search better solutions, such that the NSGA2 algorithm can gain a better local search ability which is helpful to the optimization process. Finally, the proposed modified NSGA2 algorithm (MNSGA2) is simulated in the two classic multiobjective problems which is called KUR problem and ZDT3 problem. The calculation results show the modified NSGA2 outperforms the original NSGA2, which indicates that the improvement strategy is helpful to improve the algorithm. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
33. Analysis of Age-Structured Mathematical Model of Malaria Transmission Dynamics via Classical and ABC Fractional Operators.
- Author
-
Gizaw, Ademe Kebede and Deressa, Chernet Tuge
- Subjects
INFECTIOUS disease transmission ,BASIC reproduction number ,MATHEMATICAL models ,MATHEMATICAL analysis ,MALARIA ,INSECTICIDE resistance ,MOSQUITO control - Abstract
Malaria is a complex disease with many factors influencing the transmission dynamics, including age. This research analyzes the transmission dynamics of malaria by developing an age-structured mathematical model using the classical integer order and Atangana–Baleanu–Caputo fractional operators. The analysis of the model focused on several important aspects. The existence and uniqueness of solutions of fractional order were explored based on some fixed-point theorems,such as Banach and Krasnoselski. The Positivity and boundedness of the solutions were also investigated. Furthermore, through mathematical analysis techniques, we analyzed different types of stability results, and the results showed that the disease-free equilibrium point of the model is proved to be both locally and globally asymptotically stable if the basic reproduction number is less than one, whereas the endemic equilibrium point of the model is both locally and globally asymptotically stable if the basic reproduction number is greater than one. The findings from the sensitivity analysis revealed that the most sensitive parameters, essential for controlling or eliminating malaria are mosquito biting rate, density-dependent natural mortality rate, clinical recovery rate, and recruitment rate for mosquitoes. Numerical simulations are also performed to examine the behavior of the model for different values of the fractional-order alpha,and the result revealed that as the value α reduces from 1, the spread of the endemic grows slower. By incorporating these findings, this research helps to clarify the dynamics of malaria and provides information on how to create efficient control measures. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
34. The Analysis and Calculation Method of Urban Rail Transit Carrying Capacity Based on Express-Slow Mode.
- Author
-
Ding, Xiaobing, Zhang, Shengrun, Liu, Zhigang, Hu, Hua, Xu, Xingfang, and Xu, Weixiang
- Subjects
- *
URBAN transportation , *EXPRESS trains , *RAILROAD passenger cars , *MATHEMATICAL analysis , *ENGINEERING - Abstract
Urban railway transport that connects suburbs and city areas is characterized by uneven temporal and spatial distribution in terms of passenger flow and underutilized carrying capacity. This paper aims to develop methodologies to measure the carrying capacity of the urban railway by introducing a concept of the express-slow mode. We first explore factors influencing the carrying capacity under the express-slow mode and the interactive relationships among these factors. Then we establish seven different scenarios to measure the carrying capacity by considering the ratio of the number of the express trains and the slow trains, the station where overtaking takes place, and the number of overtaking maneuvers. Taking Shanghai Metro Line 16 as an empirical study, the proposed methods to measure the carrying capacity under different express-slow mode are proved to be valid. This paper contributes to the literature by remodifying the traditional methods to measure the carrying capacity when different express-slow modes are applied to improve the carrying capacity of the suburban railway. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
35. Multidimensional and Interactive Assessment Model of Large-Scale Infrastructure Project and Its Demonstration Based on Double Utility.
- Author
-
Gao, Wu, Hong, Kairong, and Pan, Bin
- Subjects
- *
MULTIDIMENSIONAL scaling , *INTERACTIVE model (Communication) , *INFRASTRUCTURE (Economics) , *MULTIAGENT systems , *MATHEMATICAL analysis - Abstract
This paper evaluates the project risks with a multidimensional and interactive model from multiagent and utility combination, which takes subjective psychological negative utility into account rather than only focusing on the thinking pattern of objective value loss. Firstly, it analyzes the bodies’ heterogeneous preference and their game behavior using game theory application methods. Secondly, it builds multidimensional and interactive evaluation model of large-scale infrastructure project from many dimensions, such as risk rate, objective utility, and subjective utility. It reflects different values and behavior strategy interdynamic factor in the design of risk utility function. Lastly, it deduces process and approaches of multidimensional and interactive evaluation by typical project. In addition, it tests model parameter with regression analysis. The research of this paper broadens the dimension of project risk evaluation and provides comprehensive and balanced reference for the measure of project risk utility and a better basis for project risk control. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
36. Shape and Topology Optimization for Complicated Engineering Structures.
- Author
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Zhu, Ji-Hong, Beckers, Pierre, Dahan, Marc, Yan, Jun, and Jiang, Chao
- Subjects
STRUCTURAL optimization ,TOPOLOGY ,STRUCTURAL engineering ,MATHEMATICAL optimization ,MATHEMATICAL analysis - Published
- 2015
- Full Text
- View/download PDF
37. Canonical Duality for Box Constrained Nonconvex and Nonsmooth Optimization Problems.
- Author
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Liu, Jing and Liu, Huicheng
- Subjects
- *
DUALITY theory (Mathematics) , *NONCONVEX programming , *NONSMOOTH optimization , *PROBLEM solving , *MATHEMATICAL analysis - Abstract
This paper presents an application of the canonical duality theory for box constrained nonconvex and nonsmooth optimization problems. By use of the canonical dual transformation method, which is developed recently, these very difficult constrained optimization problems in Rn can be converted into the canonical dual problems, which can be solved by deterministic methods. The global and local extrema can be identified by the triality theory. Some examples are listed to illustrate the applications of the theory presented in the paper. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
38. Control Design and Loop Gain Analysis of DC-to-DC Converters Intended for General Load Subsystems.
- Author
-
Pidaparthy, Syam Kumar and Choi, Byungcho
- Subjects
- *
DC-to-DC converters , *ELECTRICAL load , *ELECTRIC impedance , *COMPUTER simulation , *MATHEMATICAL analysis - Abstract
DC-to-DC converters are usually intended for general applications where the load impedance characteristics are unknown or undefined. This paper establishes the control design procedures for DC-to-DC converters in the absence of any prior knowledge on their load impedance. The proposed control design can be universally adapted to all the DC-to-DC converters regardless of the impedance characteristics of their actual load. This paper also presents the loop gain analysis of the converter combined with an actual load whose impedance characteristics are only available afterward. A graphical analysis method is proposed, which enables us to predict the loop gain of the converter in the presence of an arbitrary load impedance. The validity of the analysis method is demonstrated using a current-mode controlled buck converter coupled with an inductive load, capacitive load, and converter load. Theoretical predictions are verified with both computer simulations and experimental measurements. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
39. Optimal Combination of Aircraft Maintenance Tasks by a Novel Simplex Optimization Method.
- Author
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Li, Huaiyuan, Zuo, Hongfu, Lei, Dan, Liang, Kun, and Lu, Tingting
- Subjects
- *
AIRCRAFT industry , *PROCESS optimization , *FUZZY systems , *PERFORMANCE evaluation , *MATHEMATICAL analysis - Abstract
Combining maintenance tasks into work packages is not only necessary for arranging maintenance activities, but also critical for the reduction of maintenance cost. In order to optimize the combination of maintenance tasks by fuzzy C-means clustering algorithm, an improved fuzzy C-means clustering model is introduced in this paper. In order to reduce the dimension, variables representing clustering centers are eliminated in the improved cluster model. So the improved clustering model can be directly solved by the optimization method. To optimize the clustering model, a novel nonlinear simplex optimization method is also proposed in this paper. The novel method searches along all rays emitting from the center to each vertex, and those search directions are rightly n+1 positive basis. The algorithm has both theoretical convergence and good experimental effect. Taking the optimal combination of some maintenance tasks of a certain aircraft as an instance, the novel simplex optimization method and the clustering model both exhibit excellent performance. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
40. High Order Differential Frequency Hopping: Design and Analysis.
- Author
-
Li, Yong, Yao, Fuqiang, and Xu, Ba
- Subjects
- *
DIFFERENTIAL equations , *TIME-frequency analysis , *PERFORMANCE evaluation , *SYSTEMS design , *MATHEMATICAL analysis - Abstract
This paper considers spectrally efficient differential frequency hopping (DFH) system design. Relying on time-frequency diversity over large spectrum and high speed frequency hopping, DFH systems are robust against hostile jamming interference. However, the spectral efficiency of conventional DFH systems is very low due to only using the frequency of each channel. To improve the system capacity, in this paper, we propose an innovative high order differential frequency hopping (HODFH) scheme. Unlike in traditional DFH where the message is carried by the frequency relationship between the adjacent hops using one order differential coding, in HODFH, the message is carried by the frequency and phase relationship using two-order or higher order differential coding. As a result, system efficiency is increased significantly since the additional information transmission is achieved by the higher order differential coding at no extra cost on either bandwidth or power. Quantitative performance analysis on the proposed scheme demonstrates that transmission through the frequency and phase relationship using two-order or higher order differential coding essentially introduces another dimension to the signal space, and the corresponding coding gain can increase the system efficiency. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
41. Research on Three-dimensional Motion History Image Model and Extreme Learning Machine for Human Body Movement Trajectory Recognition.
- Author
-
Chang, Zheng, Ban, Xiaojuan, Shen, Qing, and Guo, Jing
- Subjects
- *
MACHINE learning , *MOTOR ability , *COMPUTER vision , *ARTIFICIAL neural networks , *ROBUST control , *MATHEMATICAL analysis - Abstract
Based on the traditional machine vision recognition technology and traditional artificial neural networks about body movement trajectory, this paper finds out the shortcomings of the traditional recognition technology. By combining the invariant moments of the three-dimensional motion history image (computed as the eigenvector of body movements) and the extreme learning machine (constructed as the classification artificial neural network of body movements), the paper applies the method to the machine vision of the body movement trajectory. In detail, the paper gives a detailed introduction about the algorithm and realization scheme of the body movement trajectory recognition based on the three-dimensional motion history image and the extreme learning machine. Finally, by comparing with the results of the recognition experiments, it attempts to verify that the method of body movement trajectory recognition technology based on the three-dimensional motion history image and extreme learning machine has a more accurate recognition rate and better robustness. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
42. Voltage Gain Derivation Based on Energy-Balanced Criterion for a Novel Hybrid-Input PV-Wind Power Conversion System.
- Author
-
Shen, Chih-Lung, Liang, Tsair-Chun, Zhou, Siou-Hong, and Wang, Su-Wen
- Subjects
- *
ELECTRIC potential , *WIND power , *ENERGY conversion , *RENEWABLE energy sources , *MATHEMATICAL analysis - Abstract
This paper applies energy-balanced criterion to a novel hybrid-input PV-wind power conversion system (HPWPCS) for voltage gain derivation. With the energy-balanced concept, complicated mathematical problems related to voltage gain derivation can be readily resolved. Based on the derived results, it is proven that the proposed HPWPCS is able to process two different kinds of renewable energy resources simultaneously. Even though the HPWPCS includes seven capacitors and three magnetic components, its voltage gain still can be found by the mathematical analysis. In the theoretical derivation, only the energy status of output inductor is dealt with such that complicated derivation procedure is avoided. This analysis method can also be applied to other hybrid green-energy conversion systems. In this paper, a 200 W 50 kHz prototype of HPWPCS is built and examined to verify the mathematical results. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
43. Recent Advances on Methods and Applications of Nonlinear Differential Equations.
- Author
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Khalique, Chaudry Masood, Abudiab, Mufid, Mahomed, Fazal Mahmood, Jafari, Hossein, and Guo-Cheng Wu
- Subjects
NONLINEAR differential equations ,NONLINEAR theories ,MATHEMATICAL analysis ,COMPUTATIONAL complexity ,INFORMATION science - Published
- 2014
- Full Text
- View/download PDF
44. State Estimation for Discrete-Time Fuzzy Cellular Neural Networks with Mixed Time Delays.
- Author
-
Lijie Geng, Haiying Li, Bingchen Zhao, and Guang Su
- Subjects
- *
ESTIMATION theory , *DISCRETE-time systems , *FUZZY neural networks , *TIME delay systems , *LYAPUNOV functions , *MATHEMATICAL analysis - Abstract
This paper is concerned with the exponential state estimation problem for a class of discrete-time fuzzy cellular neural networks with mixed time delays. The main purpose is to estimate the neuron states through available output measurements such that the dynamics of the estimation error is globally exponentially stable. By constructing a novel Lyapunov-Krasovskii functional which contains a triple summation term, some sufficient conditions are derived to guarantee the existence of the state estimator. The linear matrix inequality approach is employed for the first time to deal with the fuzzy cellular neural networks in the discrete-time case. Compared with the present conditions in the form of M-matrix, the results obtained in this paper are less conservative and can be checked readily by the MATLAB toolbox. Finally, some numerical examples are given to demonstrate the effectiveness of the proposed results. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF
45. A Model for Recognizing Key Factors and Applications Thereof to Engineering.
- Author
-
Baofeng Shi and Guotai Chi
- Subjects
- *
LOGISTIC regression analysis , *CLASSIFICATION algorithms , *INDUSTRIAL management , *CONSUMERS , *ENGEL'S law , *MATHEMATICAL analysis - Abstract
This paper presents an approach to recognize key factors in data classification. Using collinearity diagnostics to delete the factors of repeated information and Logistic regression significant discriminant to select the factors which can effectively distinguish the two kinds of samples, this paper creates a model for recognizing key factors. The proposed model is demonstrated by using the 2044 observations in finical engineering. The experimental results demonstrate that the 13 indicators such as "marital status," "net income of borrower," and "Engel's coefficient" are the key factors to distinguish the good customers from the bad customers. By analyzing the experimental results, the performance of the proposed model is verified. Moreover, the proposed method is simple and easy to be implemented. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF
46. Cross-Domain Personalized Learning Resources Recommendation Method.
- Author
-
Long Wang, Zhiyong Zeng, Ruizhi Li, and Hua Pang
- Subjects
- *
INDIVIDUALIZED instruction , *INSTRUCTIONAL materials centers , *ALGORITHMS , *BLOGS , *WEB personalization , *MATHEMATICAL analysis - Abstract
According to cross-domain personalized learning resources recommendation, a newpersonalized learning resources recommendation method is presented in this paper. Firstly, the cross-domain learning resources recommendationmodel is given. Then, a method of personalized information extraction from web logs is designed by making use of mixed interest measure which is presented in this paper. Finally, a learning resources recommendation algorithm based on transfer learning technology is presented. A time function and the weight constraint of wrong classified samples can be added to the classic TrAdaBoost algorithm. Through the time function, the importance of samples date can be distinguished. The weight constraint can be used to avoid the samples having too big or too small weight. So the Accuracy and the efficiency of algorithm are improved. Experiments on the real world dataset show that the proposedmethod could improve the quality and efficiency of learning resources recommendation services effectively. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
- View/download PDF
47. Mathematical Model and Analysis of Negative Skin Friction of Pile Group in Consolidating Soil.
- Author
-
Gangqiang Kong, Hanlong Liu, Qing Yang, Liang, Robert Y., and Zhou, Hang
- Subjects
- *
SOIL consolidation , *MATHEMATICAL analysis , *SKIN friction (Aerodynamics) , *PILES & pile driving , *NONLINEAR theories , *HYPERBOLIC functions , *LOAD transfer (Vehicles) , *COMPARATIVE studies , *MATHEMATICAL models - Abstract
In order to calculate negative skin friction (NSF) of pile group embedded in a consolidating soil, the dragload calculating formulas of single pile were established by considering Davis one-dimensional nonlinear consolidation soils settlement and hyperbolic loadtransfer of pile-soil interface. Based on effective influence area theory, a simple semiempirical mathematical model of analysis for predicting the group effect of pile group under dragload was described. The accuracy and reliability of mathematical models built in this paper were verified by practical engineering comparative analysis. Case studies were studied, and the prediction values were found to be in good agreement with those of measured values. Then, the influences factors, such as, soil consolidation degree, the initial volume compressibility coefficient, and the stiffness of bearing soil, were analyzed and discussed. The results show that the mathematicalmodels considering nonlinear soil consolidation and group effect can reflect the practical NSF of pile group effectively and accurately. The results of this paper can provide reference for practical pile group embedded in consolidating soil under NSF design and calculation. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
- View/download PDF
48. Fluid Driven by Tangential Velocity and Shear Stress: Mathematical Analysis, Numerical Experiment, and Implication to Surface Flow.
- Author
-
Tang, H. S., Zhang, L. Z., Maa, J. P.-Y., Li, H., Jiang, C. B., and Hussain, R.
- Subjects
- *
FLUID velocity measurements , *FLUID dynamics , *TANGENTIAL force , *SHEARING force , *MATHEMATICAL analysis , *COMPUTER simulation - Abstract
This paper investigates behaviors of flows driven by tangential velocity and shear stress on their boundaries such as solid walls and water surfaces. In a steady flow between two parallel plates with one of them in motion, analytic solutions are the same when a velocity and a shear stress boundary condition are applied on the moving plate. For an unsteady, impulsively started flow, however, analysis shows that solutions for velocity profiles as well as energy transferring and dissipation are different under the two boundary conditions. In an air-water flow, if either a velocity or a stress condition is imposed at the air-water interface, the problem becomes ill-posed because it hasmultiple solutions. Only when both of the conditions are specified, it will have a unique solution. Numerical simulations for cavity flows are made to confirm the theoretical results; a tangential velocity and a shear stress boundary condition introduce distinct flows if one considers an unsteady flow, whereas the two conditions lead to a same solution if one simulates a steady flow. The results in this paper imply that discretion is needed on selection of boundary conditions to approximate forcing on fluid boundaries such as wind effects on surfaces of coastal ocean waters. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
- View/download PDF
49. Type Synthesis and Typical Application of 1T2R-Type Parallel Robotic Mechanisms.
- Author
-
Fugui Xie, Xin-Jun Liu, and Tiemin Li
- Subjects
- *
ROBOTICS , *PARALLEL computers , *MACHINE tools , *DEGREES of freedom , *LINE geometry , *MATHEMATICAL analysis - Abstract
This paper focuses on the 1T2R-type (T: translational DOF; R: rotational DOF) parallel robotic mechanisms (PKMs) and discusses their type synthesis and typical application in five-axis machine tools. Based on Grassmann line geometry and atlas method, a systematic method dealing with the type synthesis of lower mobility PKMs is introduced. The Blanding rules and generalized Blanding rules, which are the criterions in realizing the mutual conversion between the freedom-space atlas and the constraint-space atlas, are summarized and discussed in detail. Thereafter, the entire procedure of the type synthesis is presented, and the type synthesis of 1T2R PKMs is carried out. Based on the synthesis results, a five-axis hybrid mechanism is proposed and a machine tool is developed consequently. The type synthesis method presented in this paper is intuitive and concise and can be used in the type synthesis of other lower mobility PKMs. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
- View/download PDF
50. Structure Identification-Based Clustering According to Density Consistency.
- Author
-
Chunzhong Li and Zongben Xu
- Subjects
ALGORITHMS ,DATA mining ,MATHEMATICS ,ENGINEERING mathematics ,MATHEMATICAL analysis - Abstract
Structure of data set is of critical importance in identifying clusters, especially the density difference feature. In this paper, we present a clustering algorithm based on density consistency, which is a filtering process to identify same structure feature and classify them into same cluster. This method is not restricted by the shapes and high dimension data set, and meanwhile it is robust to noises and outliers. Extensive experiments on synthetic and real world data sets validate the proposed the new clustering algorithm. [ABSTRACT FROM AUTHOR]
- Published
- 2011
- Full Text
- View/download PDF
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