Abstract
In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. 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.
Original language | English |
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Pages (from-to) | 246-264 |
Number of pages | 19 |
Journal | Journal of Industrial and Management Optimization |
Volume | 19 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2023 |
Bibliographical note
Publisher Copyright:© 2023, Journal of Industrial and Management Optimization. All Rights Reserved.
Keywords
- Fractional derivative
- Optimal control
- Pontryagin maximum principle
- Representation formula
- Second-order necessary condition