CONTROL PROBLEMS GOVERNED BY TIME-DEPENDENT MAXIMAL MONOTONE OPERATORS

被引：4

作者：

Saidi, Soumia ^{[1
]}

Yarou, Mustapha Fateh ^{[1
]}

机构：

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

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2017年 / 23卷 / 02期

关键词：

Maximal monotone operators; optimal control; pseudo-distance; Lipschitz perturbation; absolutely continuous; Young measures; RELAXATION;

D O I：

10.1051/cocv/2015056

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper concerns on an infinite dimensional Hilbert space, the existence and uniqueness of absolutely continuous solutions, for Lipschitz single-valued perturbations of evolution problems involving maximal-monotone operators. This result allows us to extend to optimal control problems associated with such equations, the relaxation theorems with Young measures proved recently in [S. Saidi, L. Thibault and M. F. Yarou, Numer. Funct. Anal. Optim. 34 (2013) 1156-1186].

引用

页码：455 / 473

页数：19

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