Practical and asymptotic stabilities for a class of delayed fractional discrete-time linear systems

• Autorzy: Ruszewski A.

Identyfikatory

DOI

10.24425/bpas.2019.128426

• Języki publikacji: EN

Abstrakty

EN

The practical and asymptotic stabilities of delayed fractional discrete-time linear systems described by the model without a time shift in the difference are addressed. The D-decomposition approach is used for stability analysis. New necessary and sufficient stability conditions are established. The conditions in terms of the location of eigenvalues of the system matrix in the complex plane are given.

Słowa kluczowe

EN

fractional; discrete-time; stability; time-delay

PL

ułamkowy; czas dyskretny; stabilność; opóźnienie

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2019
• Tom: Vol. 67, nr 3
• Strony: 509--515
• Opis fizyczny: Bibliogr. 23 poz., wykr.

Twórcy

autor

Ruszewski A.

• Bialystok University of Technology, Faculty of Electrical Engineering, 45D Wiejska St., 15-351 Białystok, Poland.

Bibliografia

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• [8] M. Busłowicz and A. Ruszewski, “Necessary and sufficient conditions for stability of fractional discrete-time linear state-space systems”, Bull. Pol. Ac.: Tech. 61 (4), 779–786 (2013).
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• [13] T. Kaczorek, “Practical stability of positive fractional discretetime systems”, Bull. Pol. Ac.: Tech. 56 (4), 313–317 (2008).
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• [16] T. Kaczorek, “A new approach to the realization problem for fractional discrete-time linear systems”, Bull. Pol. Ac.: Tech. 64 (1), 9–14 (2016).
• [17] A. Ruszewski, “Practical and asymptotic stability of fractional discrete-time scalar systems described by a new model”, Arch. Control Sci. 26 (4), 441–452 (2016).
• [18] A. Ruszewski, “Stability analysis for the new model of fractional discrete-time linear state-space systems”, In: A. Babiarz et al. (eds.), Theory and Applications of Non-integer Order Systems, Lecture Notes in Electrical Engineering, 407, 381–389, Springer (2017).
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• [21] A. Ruszewski, “Stability analysis for a class of fractional discretetime linear scalar systems with multiple delays in state”, In: A.B. Malinowska et al. (eds.), Advances in Non-integer Order Calculus and Its Applications, Lecture Notes in Electrical Engineering, 559, 201–212, Springer (2020).
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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).