Necessary conditions for optimal control problems with sweeping systems and end point constraints

被引：10

作者：

de Pinho, M. d. R. ^{[1
]}

Ferreira, M. Margarida A. ^{[1
]}

Smirnov, Georgi ^{[2
,3
]}

机构：

[1] Univ Porto, SYSTEC, DEEC, Fac Engn, Porto, Portugal

[2] Univ Minho, Phys Ctr Minho, Campus Gualtar, Braga, Portugal

[3] Univ Minho, Porto Univ CF UM UP, Dep Matemat, Campus Gualtar, Braga, Portugal

来源：

OPTIMIZATION | 2022年 / 71卷 / 11期

关键词：

Sweeping systems; optimal control; necessary conditions; NONSMOOTH MAXIMUM PRINCIPLE; MOREAU;

D O I：

10.1080/02331934.2022.2101111

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：

We generalize the Maximum Principle for free end point optimal control problems involving sweeping systems derived in [de Pinho MdR, Ferreira MMA, Smirnov GV. Optimal control involving sweeping processes. Set-Valued Var Anal. 2019;27(2):523-548] to cover the case where the constraints are time dependent and the end point is constrained to a set. As in [de Pinho MdR, Ferreira MMA, Smirnov GV. Optimal control involving sweeping processes. Set-Valued Var Anal. 2019;27(2):523-548], an ingenious smooth approximating family of standard differential equations plays a crucial role.

引用

页码：3363 / 3381

页数：19

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