Stability of switched nonlinear systems with delay and disturbance

被引：113

作者：

Wang, Yue-E ^{[1
]}

Sun, Xi-Ming ^{[2
]}

Mazenc, Frederic ^{[3
]}

机构：

[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Peoples R China

[2] Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China

[3] EPI Inria Saclay DISCO, Lab Signaux & Syst, CNRS Cent Supelec, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, France

来源：

AUTOMATICA | 2016年 / 69卷

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Switched nonlinear systems; Lyapunov-Krasovskii functionals; Input delay; Input-to-state stability; TO-STATE STABILITY; LYAPUNOV-KRASOVSKII FUNCTIONALS; LINEAR-SYSTEMS; STABILIZATION; ROBUSTNESS;

D O I：

10.1016/j.automatica.2016.02.015

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider a class of nonlinear time-varying switched control systems for which stabilizing feedbacks are available. We study the effect of the presence of a delay in the input of switched nonlinear systems with an external disturbance. By contrast with most of the contributions available in the literature, we do not assume that all the subsystems of the switched system we consider are stable when the delay is present. Through a Lyapunov approach, we derive sufficient conditions in terms of size of the delay ensuring the global exponential stability of the switched system. Moreover, under appropriate conditions, the input-to-state stability of the system with respect to an external disturbance is established. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：78 / 86

页数：9

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