Stability conditions for fractional-order linear equations with delays

• Autorzy: Mozyrska D. , Ostalczyk P. , Wyrwas M.

Identyfikatory

DOI

10.24425/124261

• Języki publikacji: EN

Abstrakty

EN

The problem of stability of the Gr¨unwald-Letnikov-type linear fractional-order discrete-time systems with delays is discussed. For the stability analysis of the considered systems the Z -transform is used. The sufficient conditions for the asymptotic stability of the considered systems are presented. Using conditions related to eigenvalues of the matrices defining the linear difference systems, one can determine the regions of location of eigenvalues of matrices associated to the systems in order to guarantee the asymptotic stability of the considered systems. Some of these regions are illustrated with relevant examples.

Słowa kluczowe

EN

fractional calculus; discrete-time models with delays; stability

PL

rachunek różniczkowy; model dyskretny; stabilność

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2018
• Tom: Vol. 66, nr 4
• Strony: 449--454
• Opis fizyczny: Bibliogr. 24 poz., wykr.

Twórcy

autor

Mozyrska D.

• Faculty of Computer Science, Bialystok University of Technology, 45a Wiejska St., 15-351 Białystok, Poland

autor

Ostalczyk P.

• Institute of Applied Computer Science, Lodz University of Technology, 18/22 Stefanowskiego St., 90-924 Łódź, Poland

autor

Wyrwas M.

• Faculty of Computer Science, Bialystok University of Technology, 45a Wiejska St., 15-351 Białystok, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).