Stability Criteria for Continuous Systems with Two Different Time-varying Delays  

含两个不同时变时滞连续系统的稳定性判据（英文）

作　　者：程媛媛 蒋威 

机构地区：[1]School of Mathematical Sciences, Anhui University

出　　处：《Chinese Quarterly Journal of Mathematics》2015年第1期30-38,共9页数学季刊（英文版）

基　　金：Supported by the NSFC(11071001);Supported by the Doctoral Fund of Ministry of Education of China(20093401110001);Supported by the Major Program of Educational Commission of Anhui Province(KJ2010ZD02);Supported by the 211 Project of Anhui University(KJQN1001)

摘　　要：This paper presents a new result of stability analysis for continuous systems with two dierent time-varying delay components, new delay-dependent asymptotic stability criterion of continuous systems is proposed by exploiting an improved Lyapunov-Krasovskii functional candidate and an improved approximation method without resorting to any model transformation and free weighting matrix technique. This new criteria has advantages over some previous ones in that it involves few matrix variables and has less computational eort and conservatism. This criterion is expressed by a set of linear matrix inequalities, which can be tested by using the LMI toolbox in Matlab. Finally, illustrative example demonstrates the eectiveness and the advantage of the proposed method.

关 键 词：asymptotic stability linear matrix inequality(LMI) time-delay systems 

分 类 号：O175[理学—数学]