Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems

被引：51
作者：
Malisoff, M
Mazenc, F
机构：
[1] INRA, UMR Anal Syst & Biometrie, Projet MERE INRIA INRA, F-34060 Montpellier, France
[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
来源：
AUTOMATICA | 2005年 / 41卷 / 11期
基金：
美国国家科学基金会;
关键词：
Lyapunov functions; input-to-state stabilization; non-autonomous systems;
D O I：
10.1016/j.automatica.2005.05.015
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study the stability properties of a class of time-varying non-linear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our given Lyapunov functions which guarantee the existence of strict ISS Lyapunov functions for our systems. Next, we provide simple direct constructions of explicit strict ISS Lyapunov functions for our systems by applying an integral smoothing method. We illustrate our constructions using a tracking problem for a rotating rigid body. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1973 / 1978
页数：6
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