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Lyapunov pairs for perturbed sweeping processes
(Springer, 2018)
We give a full characterization of nonsmooth Lyapunov pairs for perturbed sweeping processes under very general hypotheses. As a consequence, we provide an existence result and a criterion for weak invariance for perturbed ...
Invariant sets and Lyapunov pairs for differential inclusions with maximal monotone operators
(Academic Press Inc., 2018)
We give different conditions for the invariance of closed sets with respect to differential inclusions governed by a maximal monotone operator defined on Hilbert spaces, which is subject to a Lipschitz continuous perturbation ...
Existence and Lyapunov Pairs for the Perturbed Sweeping Process Governed by a Fixed Set
(Springer Netherlands, 2019)
The aim of this paper is to prove existence results for a class of sweeping processes in Hilbert spaces by using the catching-up algorithm. These processes are governed by ball-compact non autonomous sets. Moreover, a full ...
Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators
(Springer, 2020)
We give new criteria for weak and strong invariant closed sets for differential inclusions in Double-struck capital Rn, and which are simultaneously governed by Lipschitz Cusco mapping and by maximal monotone operators. ...
Nonsmooth Lyapunov pairs for differential inclusions governed by operators with nonempty interior domain
(Springer, 2016)
The general theory of Lyapunov stability of first-order differential inclusions in Hilbert spaces has been studied by the authors in the previous paper (Adly et al. in Nonlinear Anal 75(3): 985-1008, 2012). This new ...
Lyapounov stability for impulsive dynamical systems
(2002-12-01)
This article addresses the problem of stability of impulsive control systems whose dynamics are given by measure driven differential inclusions. One important feature concerns the adopted solution which allows the consideration ...
Lyapounov stability for impulsive dynamical systems
(2002-12-01)
This article addresses the problem of stability of impulsive control systems whose dynamics are given by measure driven differential inclusions. One important feature concerns the adopted solution which allows the consideration ...
Non-convex sweeping processes involving maximal monotone operators
(Taylor & Francis, 2017)
By using a regularization method, we study in this paper the global existence and uniqueness property of a new variant of non-convex sweeping processes involving maximal monotone operators. The system can be considered as ...
Invariant sets and lyapunov pairs for differential inclusions with maximal monotone operators
(2018)
We give different conditions for the invariance of closed sets with respect to differential inclusions governed by a maximal monotone operator defined on Hilbert spaces, which is subject to a Lipschitz continuous perturbation ...