Optimal Control Problems Governed by Time Dependent Subdifferential Operators with Delay. (2nd June 2016)

• Record Type: Journal Article
• Authors: Saïdi, Soumia; Yarou, Mustapha Fateh
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 6(2016)
• Page Start: 786
• Page End: 804
• Publication Date: 2016-06-02
• Subjects: Absolutely continuous map -- delay perturbed problem -- differential inclusions -- optimal control -- set-valued map -- subdifferential operator -- Young measure; 34A60 -- 49A52; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1147464
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: This article is devoted to the study, in the infinite dimensional setting, of a Bolza-type problem governed by a class of functional evolution inclusion which involves a time-dependent subdifferential operator with a time-delay perturbation. We present a relaxation result associated with such equations where the controls are Young measures in order to show the existence of an optimal solution under a suitable convexity assumption.