Second-Order Time and State-Dependent Sweeping Process in Hilbert Space

被引：12

作者：

Aliouane, Fatine ^{[1
]}

Azzam-Laouir, Dalila ^{[1
]}

Castaing, Charles ^{[2
]}

Monteiro Marques, Manuel D. P. ^{[3
]}

机构：

[1] Univ Mohammed Seddik Benyahia, Jijel, Algeria

[2] Univ Montpellier, CNRS, IMAG, Montpellier, France

[3] Univ Lisbon, Fac Ciencias, Dept Matemat, CMAFcIO, 1749-016 Campo Grande, Lisbon, Portugal

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2019年 / 182卷 / 01期

关键词：

Absolutely continuous; Bounded variation; Caratheodory perturbation; Frechet normal cone; Set-valued perturbation; Subsmoothness; Sweeping process; EXISTENCE; CONVEX;

D O I：

10.1007/s10957-018-01455-x

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：

Using an explicit catching-up algorithm, we prove the existence of absolutely continuous as well as bounded variation continuous solutions to a second-order perturbed Moreau's sweeping process with the normal cone of a subsmooth moving set, which depends both on the time and on the state.

引用

页码：153 / 188

页数：36

共 42 条

[1] An Existence Result for Discontinuous Second-Order Nonconvex State-Dependent Sweeping Processes [J].