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.
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页码：3363 / 3381
页数：19
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