Converse Lyapunov theorem of input-to-state stability for time-delay systems

被引：13
|
作者：
Zhu Q. [1 ]
Hu G.-D. [1 ]
机构：
[1] Department of Automation, Information Engineering School, University of Science and Technology Beijing
来源：
Zidonghua Xuebao/Acta Automatica Sinica | 2010年 / 36卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Converse Lyapunov theorem; Input-to-state stability (ISS); Locally Lipschitz; Lyapunov functional; Time-delay system;
D O I：
10.3724/SP.J.1004.2010.01131
中图分类号：
学科分类号：
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. Copyright © Acta Automatica Sinica. All rights reserved.
引用
收藏
页码：1131 / 1136
页数：5
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