Department of Mathematics, Lebanese University
Faculty of Sciences II,
P.O. Box 90656, Fanar-Matn, Lebanon
email: hassan.saoud@ul.edu.lb
Hassan Saoud
Abstract:
Semistability is the property whereby the solutions of a dynamical
system converge to a Lyapunov stable equilibrium point determined by
the system initial conditions. We extend the theory of semistability
to a class of first-order evolution variational inequalities, and study
the finite-time semistability.
These results are Lyapunov-based and are obtained without any assumptions
of sign definiteness on the Lyapunov function. Our results are
supported by some examples from unilateral mechanics and electrical
circuits involving nonsmooth elements such as Coulomb's friction
forces and diodes.
Submitted March 15, 2015. Published October 12, 2015.
Math Subject Classifications: 37C75, 49J40, 34G25.
Key Words: Lyapunov stability; semistability; finite-time semistability;
evolution variational inequalities;
complementarity problem; differential inclusions
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Hassan Saoud Department of Mathematics, Lebanese University Faculty of Sciences II, P.O. Box 90656, Fanar-Matn, Lebanon email: hassan.saoud@ul.edu.lb |
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