Optimal control of nonconvex integro-differential sweeping processes

This paper is devoted to the study, for first time in literature, of optimal control problems sweeping processes governed by integro-differential inclusions Volterra type with different classes functions acting nonconvex moving sets, external dynamic perturbations, and integral parts dynamics. We establish existence solutions then obtain necessary optimality conditions a broad class local minimizers such problems. Our approach deriving based on method discrete approximations married basic constructions calculus rules first-order second-order variational analysis generalized differentiation. The obtained are expressed entirely terms problem data illustrated nontrivial examples that include applications models non-regular electrical circuits.