Finite-time Lyapunov stability analysis of evolution variational inequalities

Khalid Addi (1) , Samir Adly (2) , Hassan Saoud (2)

1 PIMENT - Physique et Ingénierie Mathématique pour l'Énergie, l'environnemeNt et le bâtimenT
2 XLIM - XLIM

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.

Mots clés: Convex Analysis; Finite-Time Stability; Lyapunov Stability; LaSalle Invariance Principle; Nonsmooth Analysis; Variational Inequality; Complementarity Problem; Differential Inclusions

Domaines: Mathématiques [math]

Khalid Addi, Samir Adly, Hassan Saoud. Finite-time Lyapunov stability analysis of evolution variational inequalities. Discrete and Continuous Dynamical Systems - Series A, 2011, 31 (4), pp.1023-1038. ⟨10.3934/dcds.2011.31.1023⟩. ⟨hal-00683032⟩