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Finite-time Lyapunov stability analysis of evolution variational inequalities. (English) Zbl 1230.93064

Summary: 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.

MSC:

49J40 Variational inequalities
49K40 Sensitivity, stability, well-posedness
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)