Pontryagin’s maximum principle for the Roesser model with a fractional Caputo derivative

• Autorzy: Yusubov, Shakir Sh. , Mahmudov, Elimhan N.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we study the modern mathematical theory of the optimal control problem associated with the fractional Roesser model and described by Caputo partial derivatives, where the functional is given by the Riemann-Liouville fractional integral. In the formulated problem, a new version of the increment method is applied, which uses the concept of an adjoint integral equation. Using the Banach fixed point principle, we prove the existence and uniqueness of a solution to the adjoint problem. Then the necessary and sufficient optimality condition is derived in the form of the Pontryagin’s maximum principle. Finally, the result obtained is illustrated by a concrete example.

Słowa kluczowe

EN

fractional optimal control; Pontryagin’s maximum principle; Caputo derivative; Roesser model

• Czasopismo: Archives of Control Sciences
• Rocznik: 2024
• Tom: Vol. 34, No. 2
• Strony: 271--300
• Opis fizyczny: Bibliogr. 47 poz., wzory

Twórcy

autor

Yusubov, Shakir Sh.

• Department of Mechanics and Mathematics, Baku State University, Baku, Azerbaijan,

autor

Mahmudov, Elimhan N.

• Department of Mathematics, Istanbul Technical University, Istanbul, Turkey,
• Azerbaijan National Aviation Academy, Baku, Azerbaijan
• Research Center for Mathematical Modeling and Optimization, Azerbaijan State University of Economics

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Identyfikatory

DOI

10.24425/acs.2024.149661