Relaxation of Optimal Control Problems Involving Time Dependent Subdifferential Operators

被引：15

作者：

Saidi, S. ^{[1
]}

Thibault, L. ^{[2
]}

Yarou, M. ^{[1
]}

机构：

[1] Jijel Univ, Dept Math, Lab LMPA, Jijel, Algeria

[2] Univ Montpellier 2, Dept Math, Montpellier, France

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2013年 / 34卷 / 10期

关键词：

Absolutely continuous map; Differential inclusions; Lipschitz perturbation; Maximal monotonicity; Optimal control; Subdifferential operator; Young measures; 34A60; 49A52; EVOLUTION-EQUATIONS;

D O I：

10.1080/01630563.2013.807287

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article provides in the setting of infinite dimensional Hilbert space, a result concerning the existence and uniqueness of solutions for Lipschitz single-valued perturbations of evolution problems associated with time-dependent subdifferential operators. The result is used to extend to optimal control problems associated with such equations the relaxation theorems with Young measures established in Casting et al. [7, 11] and Edmond and Thibault [11].

引用

页码：1156 / 1186

页数：31

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