Finite-time Lyapunov stability analysis of evolution variational inequalities

Khalid Addi; Samir Adly; Hassan Saoud

doi:10.3934/dcds.2011.31.1023

Article Contents

2011, Volume 31, Issue 4: 1023-1038. Doi: 10.3934/dcds.2011.31.1023

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Finite-time Lyapunov stability analysis of evolution variational inequalities

1.
Université de La Réunion, PIMENT EA 4518, 97400 Saint-Denis
2.
XLIM UMR-CNRS 6172, Université de Limoges, 87060 Limoges

Received: October 31, 2009

Revised: September 30, 2010

Published: September 2011

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Abstract

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.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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