JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2021 (Journal Indexed in SCI)
Article / Article
Title of Journal :
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
Fractional derivative, optimal control, representation formula, Pon-tryagin maximum principle, second-order necessary condition, DIFFERENTIAL EQUATIONS, DUALITY, ORDER
In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equa-tion. The problem is investigated in the case when the Pontryagin maximum principle degenerates, that is, it is satisfied trivially. Then the second order optimality conditions are derived for the considered problem.