NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR FRACTIONAL FORNASINI-MARCHESINI MODEL

Shakir Sh Yusubov, Elimhan N. Mahmudov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In the paper, we study an optimal control problem connected with a fractional Fornasini-Marchesini model described by partial Caputo derivatives. Using a new version of the increment method, the necessary and sufficient optimality condition is obtained in the form of the Pontryagin maximum principle for the posed fractional optimal control problem. The paper is concluded with illustrating example.

Original languageEnglish
Pages (from-to)7221-7244
Number of pages24
JournalJournal of Industrial and Management Optimization
Volume19
Issue number10
DOIs
Publication statusPublished - Oct 2023

Bibliographical note

Publisher Copyright:
© 2023, Journal of Industrial and Management Optimization. All Rights Reserved.

Keywords

  • Caputo derivative
  • Fractional optimal control
  • Pontryagin maximum principle

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