Integral input-to-state stability of switched nonlinear systems with unstable subsystems

被引：2

作者：

Zhao H.-J. ^{[1
]}

Zong G.-D. ^{[1
]}

机构：

[1] School of Engineering, Qufu Normal University, Rizhao, 276826, Shandong

来源：

Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2016年 / 33卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Integral input-to-state stability; Lyapunov-like function with indefinite derivative; Switched systems; Unstable subsystems;

D O I：

10.7641/CTA.2016.15105

中图分类号：

学科分类号：

摘要：

This paper deals with the problem of integral input-to-state stability (iISS) for switched nonlinear systems with unstable subsystems. A Lyapunov-like function with indefinite derivative is introduced to derive the iISS of switched nonlinear systems, which generalizes the classic Lyapunov function with positive definite derivative. Two cases are considered. A switched nonlinear system is iISS if all subsystems are iISS. Moreover, if some of subsystems are not iISS, the iISS property is shown for the switched nonlinear systems. An illustrative example is presented to demonstrate the effectiveness of the main results. © 2016, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.

引用

页码：1359 / 1365

页数：6

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