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
收藏
页码：1023 / 1038
页数：16
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