A general existence theorem for a multi-valued control problem

Behrouz Emamizadeh; Yichen Liu; Mohsen Zivari-Rezapour

doi:10.5802/crmath.568

A general existence theorem for a multi-valued control problem

Behrouz Emamizadeh
, Yichen Liu^*
, Mohsen Zivari-Rezapour

^*Corresponding author for this work

Department of Applied Mathematics

University of Nottingham Ningbo China
Institute for Research for Fundamental Sciences
Shahid Chamran University of Ahvaz

Research output: Contribution to journal › Article › peer-review

Abstract

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* closure of the set containing all the multi-valued controls and the bathtub principle. We also obtain the optimality condition for the optimal control.

Original language	English
Pages (from-to)	195-202
Number of pages	8
Journal	Comptes Rendus Mathematique
Volume	362
DOIs	https://doi.org/10.5802/crmath.568
Publication status	Published - Mar 2024

Keywords

decomposition
existence
multi-valued control
optimality condition
uniqueness

Access to Document

10.5802/crmath.568

Cite this

@article{2735843a5ade45c081c90eaa02a5e53c,

title = "A general existence theorem for a multi-valued control problem",

abstract = "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* closure of the set containing all the multi-valued controls and the bathtub principle. We also obtain the optimality condition for the optimal control.",

keywords = "decomposition, existence, multi-valued control, optimality condition, uniqueness",

author = "Behrouz Emamizadeh and Yichen Liu and Mohsen Zivari-Rezapour",

year = "2024",

month = mar,

doi = "10.5802/crmath.568",

language = "English",

volume = "362",

pages = "195--202",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

}

TY - JOUR

T1 - A general existence theorem for a multi-valued control problem

AU - Emamizadeh, Behrouz

AU - Liu, Yichen

AU - Zivari-Rezapour, Mohsen

PY - 2024/3

Y1 - 2024/3

N2 - 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* closure of the set containing all the multi-valued controls and the bathtub principle. We also obtain the optimality condition for the optimal control.

AB - 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* closure of the set containing all the multi-valued controls and the bathtub principle. We also obtain the optimality condition for the optimal control.

KW - decomposition

KW - existence

KW - multi-valued control

KW - optimality condition

KW - uniqueness

UR - https://www.scopus.com/pages/publications/85188301155

U2 - 10.5802/crmath.568

DO - 10.5802/crmath.568

M3 - Article

AN - SCOPUS:85188301155

SN - 1631-073X

VL - 362

SP - 195

EP - 202

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

ER -

A general existence theorem for a multi-valued control problem

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this