On the constrained and unconstrained controllability of semilinear Hilfer fractional systems

• Autorzy: Sikora Beata

Identyfikatory

DOI

10.24425/acs.2023.145118

• Języki publikacji: EN

Abstrakty

EN

In the paper finite-dimensional semilinear dynamical control systems described by fractional-order state equations with the Hilfer fractional derivative are discussed. The formula for a solution of the considered systems is presented and derived using the Laplace transform. Bounded nonlinear function f depending on a state and controls is used. New sufficient conditions for controllability without constraints are formulated and proved using Rothe’s fixed point theorem and the generalized Darbo fixed point theorem. Moreover, the stability property is used to formulate constrained controllability criteria. An illustrative example is presented to give the reader an idea of the theoretical results obtained. A transient process in an electrical circuit described by a system of Hilfer type fractional differential equations is proposed as a possible application of the study.

Słowa kluczowe

EN

Hilfer fractional derivative; fractional systems; semilinear control systems; nonautonomous systems; Rothe's fixed point theorem; generalized Darbo fixed point theorem

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2023
• Tom: Vol. 33, No. 1
• Strony: 155--178
• Opis fizyczny: Bibliogr. 48 poz., rys., wzory

Twórcy

autor

Sikora Beata

• Department of Applied Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, 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)