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29 results on '"GU, KEQIN"'

1. Structured invariant subspace and decomposition of systems with time delays and uncertainties.

Author

Phan‐Van, Huan and Gu, Keqin

Subjects
*TIME delay systems, *LARGE scale systems, *INVARIANT subspaces, *DIFFERENTIAL-difference equations, *TIME-varying systems
Abstract

This article discusses invariant subspaces of a matrix with a given partition structure. The existence of a nontrivial structured invariant subspace is equivalent to the possibility of decomposing the associated system with multiple feedback blocks such that the feedback operators are subject to a given constraint. The formulation is especially useful in the stability analysis of time‐delay systems using the Lyapunov–Krasovskii functional approach where computational efficiency is essential in order to achieve accuracy for large scale systems. The set of all structured invariant subspaces are obtained (thus all possible decompositions are obtained as a result) for the coupled differential‐difference equations (DDE) associated with the DDE of retarded and neutral types, as well as systems with a time‐varying delay. It was shown that the known ad hoc methods of reducing the dimensions of delay channels can be considered as special cases of decomposition where one subsystem has trivial dynamics. The reduction of computational cost is demonstrated by a numerical example. For the general case, a recursive procedure is developed to obtain the set of all structured invariant subspaces. Based on this procedure, a method is presented to obtain a nontrivial structured invariant subspace that considers computational efficiency and increased possibility of terminating in a finite number of steps. [ABSTRACT FROM AUTHOR]

Published
2024
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2. External Direct Sum Invariant Subspace and Decomposition of Coupled Differential-Difference Equations

Author

Gu, Keqin and Phan-Van, Huan

Abstract

This article discusses the invariant subspaces that are restricted to be external direct sums. Some existence conditions are presented that facilitate finding such invariant subspaces. This problem is related to the decomposition of coupled differential-difference equations, leading to the possibility of lowering the dimensions of coupled differential-difference equations. As has been well documented, lowering the dimension of coupled differential-difference equations can drastically reduce the computational time needed in stability analysis when a complete quadratic Lyapunov–Krasovskii functional is used. Most known ad hoc methods of reducing the order are special cases of this formulation.

Published
2024
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5. A geometric description of the set of stabilizing PID controllers.

Author

Gu, Keqin, Ma, Qian, Zhou, Huiqing, Mahzoon, Salma, and Yang, Xingzi

Subjects
*PID controllers, *SURFACE stability
Abstract

This article developed a new method to described the set of stabilizing PID control. The method is based on D‐parameterization with natural description of the set. It was found that the stability crossing surface is a ruled surface that is completely determined by a curve known as discriminant. The discriminant is divided into sectors at the cusps. Corresponding to the sectors, the stability crossing surface is divided into positive and negative patches. A systematic study is conducted to identify the regions with a fixed number of right half‐plane characteristic roots. The crossing directions of characteristic roots for positive patches and negative patches are also studied. As a result, a systematic method is developed to identify the regions of PID parameter such that the system is stabilized. [ABSTRACT FROM AUTHOR]

Published
2022
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6. Cable-Operated Elevators and Deep-Sea Construction: Hyperbolic PDE-ODE Control with Moving Boundary

Author

Krstic, Miroslav, Wang, Ji, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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7. Prediction Control for Nonlinear Systems with Stochastic Input Delay

Author

Kong, Sijia, Bresch-Pietri, Delphine, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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8. Energy Shaping Control of 1D Distributed Parameter Systems

Author

Le Gorrec, Yann, Ramirez, Hector, Wu, Yongxin, Liu, Ning, Macchelli, Alessandro, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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9. Ramp Metering: Modeling, Simulations and Control Issues

Author

Join, Cédric, Abouaïssa, Hassane, Fliess, Michel, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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10. A Systematic Backstepping Design of Tracking Controllers for ODE-PDE-ODE Systems with Nonlinear Actuator Dynamics

Author

Gehring, Nicole, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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11. Event-Triggered Output Feedback Control of Traffic Flow on Cascaded Roads

Author

Espitia, Nicolas, Auriol, Jean, Yu, Huan, Krstic, Miroslav, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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12. Tracking Control for Linear Heterodirectional Hyperbolic PDEs that Are Bidirectionally Coupled with Nonlinear ODEs

Author

Irscheid, Abdurrahman, Gehring, Nicole, Deutscher, Joachim, Rudolph, Joachim, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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13. Computational Modeling for One-Dimensional Distributed Parameter Systems

Author

Danciu, Daniela, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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14. Practical Output Regulation and Tracking for Linear ODE-hyperbolic PDE-ODE Systems

Author

Redaud, Jeanne, Bribiesca-Argomedo, Federico, Auriol, Jean, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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15. Insight into the Stability Analysis of the Reaction-Diffusion Equation Interconnected with a Finite-Dimensional System Taking Support on Legendre Orthogonal Basis

Author

Bajodek, Mathieu, Seuret, Alexandre, Gouaisbaut, Frédéric, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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16. Numerical Control of a Semilinear Wave Equation on an Interval

Author

Cavalcanti, Marcelo, Cavalcanti, Valeria Domingos, Rosier, Carole, Rosier, Lionel, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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17. Output Feedback Stabilization of a Reaction-Diffusion PDE in the Presence of Saturations of the Input and Its Time Derivatives

Author

Lhachemi, Hugo, Prieur, Christophe, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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18. Sub-platooning via Agent Separation for Improved Traffic Flow Metrics in a Car-Following Model

Author

Koh, Min, Ramírez, Adrián, Sipahi, Rifat, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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19. On the Ore Extension Ring of Differential Time-Varying Delay Operators

Author

Quadrat, Alban, Ushirobira, Rosane, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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20. A Method for Computation and Analysis of Partial Synchronization Manifolds of Delay Coupled Systems

Author

Su, Libo, Michiels, Wim, Steur, Erik, Nijmeijer, Henk, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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21. Lyapunov Stability of a Coupled Ordinary Differential System and a String Equation with Polytopic Uncertainties

Author

Barreau, Matthieu, Seuret, Alexandre, Gouaisbaut, Frédéric, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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22. 15 Years or So of Pseudospectral Collocation Methods for Stability and Bifurcation of Delay Equations

Author

Andò, Alessia, Breda, Dimitri, Liessi, Davide, Maset, Stefano, Scarabel, Francesca, Vermiglio, Rossana, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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23. Sensitivity Analysis for Stability of Uncertain Delay Differential Equations Using Polynomial Chaos Expansions

Author

Vermiglio, Rossana, Zamolo, Andrea, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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24. Analysis of Linear Partial Differential Equations Using Convex Optimization

Author

Gahlawat, Aditya, Valmorbida, Giorgio, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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25. Regional Stability of Nonlinear Sampled-Data Controlled Systems Under Actuator Saturation: A Quasi-LPV Approach

Author

Palmeira, Alessandra Helena Kimura, Gomes da Silva, Joao Manoel, Jr., Flores, Jeferson Vieira, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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26. Control by Set Invariance of a Class of Convolution Systems

Author

Bou Farraa, Berna, Abbou, Rosa, Jacques Loiseau, Jean, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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27. Stability Analysis of Linear Delay Systems via Internally Positive Representations: An Overview

Author

De Iuliis, Vittorio, Germani, Alfredo, Manes, Costanzo, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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28. Practical Stability Preservation Under Sampling, Actuation Disturbance and Measurement Noise, for Globally Lipschitz Time-Delay Systems

Author

Di Ferdinando, Mario, Pepe, Pierdomenico, Fridman, Emilia, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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29. Stabilizing Systems with Uncertain Time Delay via PID Control: How Good Is It?

Author

Ma, Dan, Chen, Jie, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Valmorbida, Giorgio, editor, and Pepe, Pierdomenico, editor

Published
2022
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