Results on the controllability of Caputo’s fractional descriptor systems with constant delays

• Autorzy: Beata Sikora

Identyfikatory

DOI

10.24425/bpasts.2023.146287

• Języki publikacji: EN

Abstrakty

EN

The paper investigates the controllability of fractional descriptor linear systems with constant delays in control. The Caputo fractional derivative is considered. Using the Drazin inverse and the Laplace transform, a formula for solving of the matrix state equation is obtained. New criteria of relative controllability for Caputo’s fractional descriptor systems are formulated and proved. Both constrained and unconstrained controls are considered. To emphasize the importance of the theoretical studies, an application to electrical circuits is presented as a practical example.

Słowa kluczowe

EN

descriptor systems; fractional-order systems; Caputo derivative; Drazin inverse; controllability

PL

pochodna Caputo; odwrotność Drazina; sterowalność; system deskryptorowy; system ułamkowego rzędu

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2023
• Tom: Vol. 71, nr 4
• Strony: art. no. e146287
• Opis fizyczny: Bibliogr. 41 poz., rys.

Twórcy

autor

Beata Sikora

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

• https://orcid.org/0000-0001-9471-4706

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).