5 papers
Discrete approximations and optimality conditions for integro-differential inclusions
Abderrahim Bouach, Tahar Haddad, Boris S. Mordukhovich
This paper addresses a new class of generalized Bolza problems governed by nonconvex integro-differential inclusions with endpoint constraints on trajectories, where the integral t…
Lipschitz multivalued perturbations of integro-differential prox-regular sweeping processes
Tahar Haddad, Sarra Gaouir, Lionel Thibault
Integro-differential sweeping processes with prox-regular sets in Hilbert spaces have been the subject of various recent studies. Diverse applications of such differential inclusio…
Optimal control of nonconvex integro-differential sweeping processes
Abderrahim Bouach, Tahar Haddad, Boris S. Mordukhovich
This paper is devoted to the study, for the first time in the literature, of optimal control problems for sweeping processes governed by integro-differential inclusions of the Volt…
Nonconvex integro-differential sweeping process with applications
Abderrahim Bouach, Tahar Haddad, Lionel Thibault
In this paper, we analyze and discuss the well-posedness of a new variant of the so-called sweeping process, introduced by J.J. Moreau in the early 70's \cite{More71} with motivati…
An implicit sweeping process approach to quasistatic evolution variational inequalities
Samir Adly, Tahar Haddad
In this paper, we study a new variant of Moreau's sweeping process with velocity constraint. Based on an adapted version of Moreau's catching-up algorithm, we show the well-posedne…