Existence of optimal control for multi-order fractional optimal control problems

• Autorzy: Kamocki Rafał

Identyfikatory

DOI

10.24425/acs.2022.141713

• Języki publikacji: EN

Abstrakty

EN

In this article we focus on optimal control problems involving a nonlinear fractional control system of different orders with Caputo derivatives, associated to a Lagrange cost functional. Based on a lower closure theorem for orientor fields combined with Filippov’s approach, we derive an existence result for at least one optimal solution for such a problem.

Słowa kluczowe

EN

existence of optimal control; multi-order fractional control system; lower closure theorem

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2022
• Tom: Vol. 32, No. 2
• Strony: 279--303
• Opis fizyczny: Bibliogr. 30 poz., wzory

Twórcy

autor

Kamocki Rafał

• Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Łódz, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)