Converse Lyapunov Theorem of Input-to-State Stability for Time-delay Systems

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 P.R. China 

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

年 卷 期：2010年第36卷第8期

页      面：1131-1136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 (60872046) the Key Discipline Development Program of Beijing Municipal Commission (XK100080537) 

主　　题：时滞系统 自动化系统 泛函理论 稳定性 

摘      要：This paper is concerned with locally Lipschitz continuous converse Lyapunov theorem of input-to-state stability for time-delay systems. For time-delay systems with arbitrary measurable locally essentially bounded disturbances,it is shown that a locally Lipschitz continuous Lyapunov functional exists if these systems are robustly asymptotically stable. Under this result, the Lyapunov characterizations of input-to-state stability for time-delay systems are obtained