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

页码：1131 / 1136

页数：5

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