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

共 50 条

[41] A Common Fixed Point Theorem for a Pair of Nonself Multi-valued Mappings
Imdad, M.
Khan, Ladlay
THAI JOURNAL OF MATHEMATICS, 2005, 3 (02): : 193 - 199
[42] Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions
Amara, Khaled Ben
Jeribi, Aref
Kaddachi, Najib
AFRIKA MATEMATIKA, 2023, 34 (03)
[43] Correction to: Multi-valued neural networks I: a multi-valued associative memory
Dmitry Maximov
Vladimir I. Goncharenko
Yury S. Legovich
Neural Computing and Applications, 2023, 35 : 18087 - 18088
[44] Multi-valued GRAPPA
Brewka, Gerhard
Puehrer, Joerg
Woltran, Stefan
LOGICS IN ARTIFICIAL INTELLIGENCE, JELIA 2019, 2019, 11468 : 85 - 101
[45] Multi-valued control problems and mixture density network
Herzallah, R
Lowe, D
INTELLIGENT CONTROL SYSTEMS AND SIGNAL PROCESSING 2003, 2003, : 347 - 352
[46] General principles for Ishikawa iterative process for multi-valued mappings
Liu, ZQ
Kang, SM
Ume, JS
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (01): : 157 - 162
[47] A GENERAL EXISTENCE THEOREM FOR DIFFERENTIAL INCLUSIONS IN THE VECTOR VALUED CASE
Dacorogna, B.
Pisante, G.
PORTUGALIAE MATHEMATICA, 2005, 62 (04) : 421 - 436
[48] Multi-valued logics introducing propositional multi-valued logics with the help of a CAS
Roanes-Lozano, E
RECENT DEVELOPMENTS IN COMPLEX ANALYSIS AND COMPUTER ALGEBRA, 1999, 4 : 277 - 290
[49] Multi-valued robust control technique for uncertain systems
Calabrese, F.
Celentano, G.
47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 2232 - 2237
[50] Multi-valued control of port-Hamiltonian systems
Castanos, Fernando
REVISTA IBEROAMERICANA DE AUTOMATICA E INFORMATICA INDUSTRIAL, 2022, 19 (04): : 419 - 429

← 1 2 3 4 5 →