Nonpathological Lyapunov functions and discontinuous Caratheodory systems

被引：45

作者：

Bacciotti, A ^{[1
]}

Ceragioli, F ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

AUTOMATICA | 2006年 / 42卷 / 03期

关键词：

lyapunov functions; stability; stabilizability; discontinuous control; invariance principle; nonpathological functions; Carathodory solutions;

D O I：

10.1016/j.automatica.2005.10.014

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Differential equations with discontinuous right-hand side and solutions intended in Caratheodory sense are considered. For these equations, sufficient conditions which guarantee both Lyapunov stability and asymptotic stability in terms of nonsmooth Lyapunov functions are given. An invariance principle is also proven. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：453 / 458

页数：6

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