Korbicz, Józef (1951- ) - red.
We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. ; When not all subsystems are stable and the same Lie algebra is solvable, we show that there is a common quadratic Lyapunov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme. Two numerical examples are provided to demonstrate the result.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 17, number 4 (2007) ; click here to follow the link
Biblioteka Uniwersytetu Zielonogórskiego
Nov 5, 2024
Apr 3, 2024
32
https://www.zbc.uz.zgora.pl/publication/88422
Edition name | Date |
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Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems | Nov 5, 2024 |
Zhai, Guisheng Xu, Xuping Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Leth, John Wisniewski, Rafael Makowski, Ryszard - ed. Zarzycki, Jan - ed.
Zhai, Guisheng Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Xiang, Zhengrong Wang, Ronghao Chen, Qingwei Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Bochniak, Jacek Gałkowski, Krzysztof Rogers, Eric Kummert, Anton Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Yang, Hao Jiang, Bin Cocquempot, Vincent Lu, Lingli Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Thuan, Mai Viet Phat, Vu Ngoc Trinh, Hieu Cordón, Oskar - ed. Kazienko, Przemysław - ed.
Liu, Yang Yang, Rongjiang Lu, Jianquan Wu, Bo Cai, Xiushan Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.