In this paper we investigate optimal control problems governed by variational inequalities. We present a method for deriving optimality conditions in the form of Pontryagin's principle. The main tools used are the Ekeland's variational principle combined with penalization and spike variation techniques. 1. Introduction. The purpose of this paper is to present a method for deriving a Pontryagin ...

We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove strong necessary optimality condition of Pontryagin type. The possibility that admissible are subject to pointwise constraints is new requires more sophisticated techniques include maximality condition. start by proving results continuity solutions due needle-like pe...

In this paper, an attempt to unify two important lines of thought in applied optimization is proposed. We wish integrate the well-known (dynamic) theory Pontryagin optimal control with Pareto (of static type), involving maximization/minimization a non-trivial number functions or functionals, offers definitive theoretical device for dynamic realization objectives be optimized. The undoubtedly le...

This paper gives a brief contact-geometric account of the Pontryagin maximum principle. We show that key notions in the Pontryagin maximum principle—such as the separating hyperplanes, costate, necessary condition, and normal/abnormal minimizers—have natural contactgeometric interpretations. We then exploit the contact-geometric formulation to give a simple derivation of the transversality cond...

High fidelity quantum state transfer is an essential part of information processing. In this regard, we address the problem maximizing in a transformation process satisfying Liouville-von Neumann equation. By introducing as performance index, aim at similarity final density operator with one desired target state. Optimality conditions form Maximum Principle Pontryagin are given for matrix-value...