Unbounded Second-Order State-Dependent Moreau's Sweeping Processes in Hilbert Spaces

被引：31

作者：

Adly, Samir ^{[1
]}

Le, Ba Khiet ^{[2
]}

机构：

[1] Univ Limoges, XLIM UMR CNRS 7252, F-87060 Limoges, France

[2] Univ Chile, CMM, Santiago, Chile

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2016年 / 169卷 / 02期

关键词：

Moreau's sweeping process; Quasi-variational inequalities; Differential inclusion; PERTURBATION;

D O I：

10.1007/s10957-016-0905-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, an existence and uniqueness result of a class of second-order sweeping processes, with velocity in the moving set under perturbation in infinite-dimensional Hilbert spaces, is studied by using an implicit discretization scheme. It is assumed that the moving set depends on the time, the state and is possibly unbounded. The assumptions on the Lipschitz continuity and the compactness of the moving set, and the linear growth boundedness of the perturbation force are weaker than the ones used in previous papers.

引用

页码：407 / 423

页数：17

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