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
收藏
页码：455 / 473
页数：19
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