OPTIMALITY CONDITIONS OF SINGULAR CONTROLS FOR SYSTEMS WITH CAPUTO FRACTIONAL DERIVATIVES

Shakir Sh Yusubov, Elimhan N. Mahmudov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

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 languageEnglish
Pages (from-to)246-264
Number of pages19
JournalJournal of Industrial and Management Optimization
Volume19
Issue number1
DOIs
Publication statusPublished - 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

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