Stability of Switched Systems with Time-Varying Delays under State-Dependent Switching

Chao Liu and Xiaoyang Liu
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Chao Liu: School of Computer Science and Engineering, Chongqing University of Technology, Chongqing 400054, China
Xiaoyang Liu: School of Computer Science and Engineering, Chongqing University of Technology, Chongqing 400054, China

Mathematics, 2022, vol. 10, issue 15, 1-13

Abstract: This paper studies the stability of linear switched systems with time-varying delays and all unstable subsystems. According to the largest region function strategy, the state-dependent switching rule is designed. By bringing in integral inequality and multiple Lyapunov-Krasovskii functionals, the stability results of delayed switched systems with or without sliding motions under the designed state-dependent switching rule are derived for different assumptions on time delay. Several numerical examples are employed to show the effectiveness and superiority of the proposed results.

Keywords: stability; switched system; state-dependent switching; time delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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