Necessary conditions of asymptotic stability for unilateral dynamical systems

被引：13

作者：

Goeleven, D

Brogliato, B

机构：

[1] INRIA Rhones Alpes, ZIRST, BipOp Project, F-38334 Saint Ismier, France

[2] Univ La Reunion, IREMIA, F-97400 Saint Denis, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 61卷 / 06期

关键词：

variational inequalities; differential inclusions; topological degree; stability theory for unilateral dynamical systems;

D O I：

10.1016/j.na.2005.01.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop a mathematical tool that can be used to state necessary conditions of asymptotic stability of isolated stationary solutions of a class of unilateral dynamical systems. More precisely, nonlinear evolution variational inequalities are considered. Instability criteria are also given. Applications can be found in mechanics or electrical circuits. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：961 / 1004

页数：44

共 34 条

[1] A stability theory for second-order nonsmooth dynamical systems with application to friction problems [J].