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Your search keyword '"Sufficient criterion"' showing total 3 results
Start Over Descriptor "Sufficient criterion" Topic asymptotic stability
3 results on '"Sufficient criterion"'

1. Stabilisation of stochastic delay Markovian reaction‐diffusion systems via boundary control.

Author

Wu, Kai‐Ning, Han, Xin‐Xin, and Zhang, Wei‐Hai

Abstract

This study considers asymptotic stability in the mean square sense for stochastic delay Markovian reaction‐diffusion systems (SDMRDSs) via boundary control. Firstly, the authors present a boundary controller for the system. By constructing of a Lyapunov–Krasovskii functional and utilising of Poincaré inequality, a sufficient criterion of mean square asymptotic stability for SDMRDSs is established. Next, boundary control for stochastic Markovian reaction‐diffusion systems (SMRDSs) with time‐varying delays is also investigated, and a delay‐dependent sufficient condition for SMRDSs under the boundary control law is obtained. In addition, the robust boundary stabilisation of SMRDSs with parametric uncertainty is considered. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed results. [ABSTRACT FROM AUTHOR]

Published
2019
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2. Exponential stability of impulsive positive systems with mixed time‐varying delays.

Author

Wang, Yan‐Wu, Zhang, Ji‐Shi, and Liu, Meng

Abstract

This study addresses the problem of exponential stability for a class of impulsive positive systems with mixed time‐varying delays. A delayed impulsive positive system model is introduced for the first time and a necessary and sufficient condition guaranteeing the positivity of this kind of system is proposed. By using a copositive Lyapunov–Krasovskii functional and the average impulsive interval method, a sufficient criterion of global exponential stability for delayed impulsive positive systems is established in terms of linear programming problems. A numerical example is given to show the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

Published
2014
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3. Stability analysis of Cohen-Grossberg neural networks of neutral-type: Multiple delays case

Author

Neyir Ozcan, Bursa Uludağ üniversitesi/Mühendislik Fakültesi/Elektrik-Elektronik Mühendisliği Bölümü., and Özcan, Neyir

Subjects
0209 industrial biotechnology, Stability criteria, Computer science, Asymptotic stability, 02 engineering and technology, Time factor, Constructive, Time-varying delay, Stochastic stability, Neutral systems, 020901 industrial engineering & automation, System stability, 0202 electrical engineering, electronic engineering, information engineering, Attention, Distributed delays, Theoretical model, BAM Neural Network, Time Lag, Bidirectional Associative Memory, Computer science, artificial intelligence, Lyapunov functions, Interconnection matrices, Global asymptotic stability, Models, theoretical, Delayed neutral systems, Artificial neural network, Computer simulation, Lyapunov functionals, Output-feedback control, Algorithm, Algebraic equation, Time derivative, 020201 artificial intelligence & image processing, Dependent stability, Neural networks, Algorithms, Neutral-type neural networks, Stability criterion, Cognitive Neuroscience, Stability (learning theory), Global stability, Neurosciences & neurology, Matrix algebra, Article, Exponential stability, Artificial Intelligence, Control theory, Sufficient criterion, Time factors, Systems, Neurosciences, Stability analysis, Criteria, Stability condition, Neural networks (computer), Discrete, Neural Networks, Computer, Robust exponential stability, Time delay
Abstract

The essential purpose of this work is to conduct an investigation into stability problem for the class of neutral-type Cohen-Grossberg neural networks including multiple time delays in states and multiple neutral delays in time derivative of states. By proposing an appropriate Lyapunov functional, a new sufficient criterion is derived for global asymptotic stability of neutral-type neural networks. The obtained stability criterion is independent of time delay and neutral delay parameters, and it is completely stated in terms of the elements of interconnection matrices and other network parameters. Thus, this newly presented stability condition can be validated by simply examining some algebraic equations establishing some relationships among the system parameters and matrices of the neutral-type neural system. A constructive example is presented to indicate applicability of the obtained sufficient stability condition. Since stability analysis of the class of neutral-type neural networks considered in this work has not been given much attention due to the difficulty of developing efficient mathematical techniques and methods enabling to conduct a stability analysis of such neutral-type neural systems, the criterion proposed in this paper can be considered as a leading stability result for neutral-type Cohen-Grossberg neural systems including multiple time and multiple neutral delays.

Published
2019

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