Stability Analysis for Uncertain Nonlinear Time-delay Systems with Quasi-one-sided Lipschitz Condition

作     者：ZHU Qiao HU Guang-Da 

作者机构：Department of Automation Information Engineering School University of Science and Technology Beijing Beijing 100083 

出 版 物：《自动化学报》 (Acta Automatica Sinica)

年 卷 期：2009年第35卷第7期

页      面：1006-1009页

核心收录：

学科分类：080802[工学-电力系统及其自动化] 0808[工学-电气工程] 07[理学] 08[工学] 071102[理学-系统分析与集成] 0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 0711[理学-系统科学] 0835[工学-软件工程] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 081103[工学-系统工程] 

基　　金：Supported by National Natural Science Foundation of China (10571036) and the Key Discipline Development Program of Beijing Municipal Commission (XK100080537) 

主　　题：鲁棒分析 自动化系统 非线性向量函数 稳定性 

摘      要：This paper deals with the robust stability of a class of uncertain nonlinear time-delay systems. A quasi-one-sided Lipschitz condition is introduced to estimate the influenee of nonlinear vector function on the stability analysis. Delay-independent/delay-dependent stability criteria formulated in the form of linear matrix inequalities are presented. Furthermore, these stability criteria are available even if the system parameter is unstable, because the unnecessary positive quasi-one-sided Lipschitz constant matrix includes much useful information of the nonlinear part. Numerical examplee show the advantage of the results obtained in this paper.