A general existence theorem for a multi-valued control

被引：0

作者：

Emamizadeh, Behrouz ^{[1
,2
]}

Liu, Yichen ^{[3
]}

Zivari-Rezapour, Mohsen ^{[4
]}

机构：

[1] Univ Nottingham Ningbo China, Dept Math Sci, Ningbo, Peoples R China

[2] Inst Res Fundamental Sci IPM, Tehran, Iran

[3] Xian Jiaotong Liverpool Univ, Sch Math & Phys, Dept Appl Math, Suzhou, Peoples R China

[4] Shahid Chamran Univ Ahvaz, Fac Math Sci & Comp, Dept Math, Ahvaz, Iran

来源：

COMPTES RENDUS MATHEMATIQUE | 2024年 / 362卷

关键词：

multi-valued control; existence; uniqueness; decomposition; optimality condition; OPTIMIZATION; SYMMETRY; MAXIMIZATION; MINIMIZATION; EIGENVALUES; LOCATION;

D O I：

10.5802/crmath.568

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose a general existence theorem for a multi-valued control problem. The proof of the theorem is based on a decomposition result of the weak star star closure of the set containing all the multi-valued controls and the bathtub principle. We also obtain the optimality condition for the optimal control.

引用

页码：195 / 202

页数：9

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