Exponential Stability of Switched Fuzzy Systems with time-delay

作     者：Hong Yang 1 , Le Zhang 1,2 1. School of Information Engineering, Shenyang University, Shenyang 110044, China2. School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116023, China 

会议名称：《第24届中国控制与决策会议》

会议日期：2012年

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Nature Science Foundation under Grant 61004039 the China Postdoctoral Science Foundation under Grant 20090461176 the Science Foundation of Educational Department of Liaoning Province under Grant 2010375 Excellent Talented Person Foundation of Educational Department of Liaoning Province under Grant LJQ2011127 to H. Yang 

关 键 词：Switched fuzzy systems average dwell time exponentially stable decay estimate 

摘      要：Average dwell time technique is an effective tool to study switched systems, but which has not been yet applied to study switched fuzzy delay systems. This paper deals with the problem of exponential stability for switched fuzzy systems based on this method. First, a model of a kind of uncertain switched fuzzy systems is presented, in which each subsystem is an uncertain fuzzy system. Then, based on Lyapunov functional candidate and average dwell time scheme, linear matrix inequalities’ （LMIs’） conditions are presented to guarantee robust exponential stability of the switched fuzzy delay systems. The exponential decay estimate for state is also explicitly developed. At last, two numerical examples are given to illustrate the effectiveness of the proposed method.