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

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