On Sufficiency Conditions for Some Robust Variational Control Problems

被引：4

作者：

Saeed, Tareq ^{[1
]}

Treanta, Savin ^{[2
,3
,4
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Financial Math & Actuarial Sci FMAS Res Grp, Jeddah 21589, Saudi Arabia

[2] Univ Politehn Bucuresti, Dept Appl Math, Bucharest 060042, Romania

[3] Acad Romanian Scientists, 54 Splaiul Independentei, Bucharest 050094, Romania

[4] Univ Politehn Bucuresti, Fundamental Sci Appl Engn Res Ctr SFAI, Bucharest 060042, Romania

来源：

AXIOMS | 2023年 / 12卷 / 07期

关键词：

fractional variational control problem; sufficient optimality conditions; robust necessary optimality conditions; robust optimal solution; convexity; quasi-convexity; monotonic quasi-convexity; PROGRAMMING PROBLEMS; OPTIMALITY;

D O I：

10.3390/axioms12070705

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the sufficient optimality conditions for a class of fractional variational control problems involving data uncertainty in the cost functional. Concretely, by using the parametric technique, we prove the sufficiency of the robust necessary optimality conditions by considering convexity, quasi-convexity, strictly quasi-convexity, and/or monotonic quasi-convexity assumptions of the involved functionals.

引用

页数：14

共 50 条

[41] Generalized conformable variational calculus and optimal control problems with variable terminal conditions
Eroglu, Beyza Billur Iskender
Yapiskan, Dilara
AIMS MATHEMATICS, 2020, 5 (02): : 1105 - 1126
[42] Variational necessary optimality conditions with feedback descent controls for optimal control problems
V. A. Dykhta
Doklady Mathematics, 2015, 91 : 394 - 396
[43] Variational Necessary Optimality Conditions with Feedback Descent Controls for Optimal Control Problems
Dykhta, V. A.
DOKLADY MATHEMATICS, 2015, 91 (03) : 394 - 396
[44] Nonsymmetric solutions for some variational problems
Paumond, L
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 44 (06) : 705 - 725
[45] Variational principle for some nonlinear problems
Yi Tian
GEM - International Journal on Geomathematics, 2022, 13
[46] Some optimal control problems governed by elliptic variational inequalities with control and state constraint on the boundary
Wang, G
Zhao, Y
Li, W
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 106 (03) : 627 - 655
[47] Variational principle for some nonlinear problems
Tian, Yi
GEM-INTERNATIONAL JOURNAL ON GEOMATHEMATICS, 2022, 13 (01)
[48] Some Optimal Control Problems Governed by Elliptic Variational Inequalities with Control and State Constraint on the Boundary
G. Wang
Y. Zhao
W. Li
Journal of Optimization Theory and Applications, 2000, 106 : 627 - 655
[49] SUFFICIENT CONDITIONS OF OPTIMALITY FOR SOME CLASS OF THE CONTROL-PROBLEMS
ORLOV, GM
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1989, (02): : 101 - 103
[50] Some problems of control of dynamical conditions of technological vibrating machines
Kuznetsov, N. K.
Lapshin, V. L.
Eliseev, A. V.
INNOVATIONS AND PROSPECTS OF DEVELOPMENT OF MINING MACHINERY AND ELECTRICAL ENGINEERING, 2017, 87

← 1 2 3 4 5 →