Stability of Delayed Switched Systems With State-Dependent Switching

作     者：Chao Liu Zheng Yang Xiaoyang Liu Xianying Huang Chao Liu;Zheng Yang;Xiaoyang Liu;Xianying Huang

作者机构：School of Computer Science and EngineeringChongqing University of TechnologyChongqing 400054China Hubei Key Laboratory of Applied Mathematics(Hubei University)Wuhan 430062China 

出 版 物：《IEEE/CAA Journal of Automatica Sinica》 (自动化学报（英文版）)

年 卷 期：2020年第7卷第3期

页      面：872-881页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by the National Natural Science Foundation of China(61503052,61503050,61603065) the Scientific and Technological Research Program of Chongqing Municipal Education Commission(KJQN201801120,KJQN201801104,KJ1709206) the Opening Foundation of Hubei Key Laboratory of Applied Mathematics(Hubei University)(HBAM201805) Chongqing Science and Technology Commission Technology Innovation and Application Demonstration(Social Livelihood General)Project(cstc2018jscx-msyb X0049) 

主　　题：Stability statedependent switching switched system time delay 

摘      要：This paper investigates the stability of switched systems with time-varying delay and all unstable subsystems. According to the stable convex combination, we design a state-dependent switching rule. By employing Wirtinger integral inequality and Leibniz-Newton formula, the stability results of nonlinear delayed switched systems whose nonlinear terms satisfy Lipschitz condition under the designed state-dependent switching rule are established for different assumptions on time delay. Moreover,some new stability results for linear delayed switched systems are also presented. The effectiveness of the proposed results is validated by three typical numerical examples.