On Sufficiency Conditions for Some Robust Variational Control Problems-Reference-Cited by-同舟云学术

On Sufficiency Conditions for Some Robust Variational Control Problems

Published:2023-07-20 Issue:7 Volume:12 Page:705
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Saeed Tareq¹^ORCID,Treanţă Savin²³⁴^ORCID

Affiliation:

1. Financial Mathematics and Actuarial Science (FMAS)—Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia

2. Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania

3. Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania

4. Fundamental Sciences Applied in Engineering—Research Center (SFAI), University Politehnica of Bucharest, 060042 Bucharest, Romania

Abstract

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/7/705/pdf

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