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

被引：5

作者：

Liu, Chao ^{[1
]}

Liu, Xiaoyang ^{[1
]}

机构：

[1] Chongqing Univ Technol, Sch Comp Sci & Engn, Chongqing 400054, Peoples R China

来源：

MATHEMATICS | 2022年 / 10卷 / 15期

关键词：

stability; switched system; state-dependent switching; time delay; EXPONENTIAL STABILITY; LINEAR-SYSTEMS; NEURAL-NETWORKS; STABILIZATION; SUBSYSTEMS; DESIGN; CRITERIA; MODES;

D O I：

10.3390/math10152722

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：13

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