On Sufficiency Conditions for Some Robust Variational Control Problems

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.

Keywords

• fractional variational control problem
• sufficient optimality conditions
• robust necessary optimality conditions
• robust optimal solution
• convexity
• quasi-convexity