# American Institute of Mathematical Sciences

December  2011, 31(4): 1023-1038. doi: 10.3934/dcds.2011.31.1023

## Finite-time Lyapunov stability analysis of evolution variational inequalities

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

Received  November 2009 Revised  October 2010 Published  September 2011

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.
Citation: Khalid Addi, Samir Adly, Hassan Saoud. Finite-time Lyapunov stability analysis of evolution variational inequalities. Discrete & Continuous Dynamical Systems - A, 2011, 31 (4) : 1023-1038. doi: 10.3934/dcds.2011.31.1023
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