A condition for the stability of switched nonlinear systems

被引：84

作者：

Mancilla-Aguilar, JL ^{[1
]}

机构：

[1] Univ Buenos Aires, Dept Math, RA-1063 Buenos Aires, DF, Argentina

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2000年 / 45卷 / 11期

关键词：

hybrid systems; Lyapunov stability; nonlinear; switched systems;

D O I：

10.1109/9.887629

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we present a sufficient condition for the global asymptotic stability of a switched nonlinear system composed of a finite family of subsystems. We show that the global asymptotic stability of each subsystem and the pairwise commutation of the vector fields that define the subsystems (i.e., the Lie bracket of any pair of them is zero) are sufficient for the global asymptotic stability of the switched system. We also show that these conditions are sufficient for the existence of a common Lyapunov function.

引用

页码：2077 / 2079

页数：3

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