FINITE-TIME LYAPUNOV STABILITY ANALYSIS OF EVOLUTION VARIATIONAL INEQUALITIES

被引：5

作者：

Addi, Khalid ^{[1
]}

Adly, Samir ^{[2
]}

Saoud, Hassan ^{[2
]}

机构：

[1] Univ La Reunion, PIMENT EA 4518, F-97400 St Denis, France

[2] Univ Limoges, XLIM UMR CNRS 6172, F-87060 Limoges, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷 / 04期

关键词：

Finite-Time stability; Lyapunov stability; LaSalle invariance principle; nonsmooth analysis; variational inequality; complementarity problem; differential inclusions; convex analysis; NONSMOOTH DYNAMICAL-SYSTEMS; INVARIANCE-PRINCIPLE;

D O I：

10.3934/dcds.2011.31.1023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using Lyapunov's stability and LaSalle's invariance principle for nonsmooth dynamical systems, we establish some conditions for finite-time stability of evolution variational inequalities. The theoretical results are illustrated by some examples drawn from electrical circuits involving nonsmooth elements like diodes.

引用

页码：1023 / 1038

页数：16

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