Quadratic stability of a class of switched nonlinear systems

被引：230

作者：

Zhao, J ^{[1
]}

Dimirovski, GM

机构：

[1] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

[2] Dogus Univ, Fac Engn, Dept Comp Engn, TR-34722 Istanbul, Turkey

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2004年 / 49卷 / 04期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

completeness; Karush-Kuhn-Tucker (KKT) condition; quadratic stability; switched systems;

D O I：

10.1109/TAC.2004.825611

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Quadratic stability of a class of switched nonlinear systems is studied in this note. We first transform quadratic stability problem into an equivalent nonlinear programming problem. Then, we derive a necessary and sufficient condition for quadratic stability of this class of switched systems by using Karush-Kuhn-Tucker condition for nonlinear programming problems. The necessary and sufficient condition is given in terms of the strict completeness of a certain set of functions on a subset of the state space, which is much easier to check.

引用

页码：574 / 578

页数：5