On controllability of fractional positive continuous-time linear systems with delay

• Autorzy: Sikora Beata , Matlok Natalia

Identyfikatory

DOI

10.24425/acs.2021.136879

• Języki publikacji: EN

Abstrakty

EN

In the paper positive fractional continuous-time linear systems are considered. Positive fractional systems without delays and positive fractional systems with a single delay in control are studied. New criteria for approximate and exact controllability of systems without delays as well as a relative controllability criterion of systems with delay are established and proved. Numerical examples are presented for different controllability criteria. A practical application is proposed.

Słowa kluczowe

EN

fractional systems; positive systems; Caputo derivative; controllability; delay; Metzler matrix

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 1
• Strony: 29--51
• Opis fizyczny: Bibliogr. 34 poz., wykr., wzory

Twórcy

autor

Sikora Beata

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

autor

Matlok Natalia

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

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).