NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR FRACTIONAL FORNASINI-MARCHESINI MODEL

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Yusubov S. S., Mahmudov E.

Journal of Industrial and Management Optimization, vol.19, no.10, pp.7221-7244, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 10
  • Publication Date: 2023
  • Doi Number: 10.3934/jimo.2022260
  • Journal Name: Journal of Industrial and Management Optimization
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Compendex, Computer & Applied Sciences, MathSciNet, zbMATH
  • Page Numbers: pp.7221-7244
  • Keywords: Fractional optimal control, Pontryagin maximum principle, Caputo derivative
  • Istanbul Technical University Affiliated: Yes

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.