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
收藏
页码：574 / 578
页数：5
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