Relaxation of an optimal control problem involving a perturbed sweeping process

被引：0

作者：

J.F. Edmond

L. Thibault

机构：

[1] Université des Antilles et de la Guyane,Département Scientifique Interfacultaire, Campus de Schoelcher

[2] Université Montpellier II,Département de Mathématiques

来源：

Mathematical Programming | 2005年 / 104卷

关键词：

Sweeping process; Perturbation; Prox-regular set; Normal cone; Optimal control; Relaxation; Young measure; Set-valued map; 34A60; 49J52; 49J24;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish first, in the setting of infinite dimensional Hilbert space, a result concerning the existence of solutions for perturbed sweeping processes whose perturbations are Lipschitz single-valued maps. Then we use this result to extend to the infinite dimensional setting a relaxation result concerning optimal control problems involving such processes.

引用

页码：347 / 373

页数：26

共 14 条

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