Stability of discrete-time fractional linear systems with delays

• Autorzy: Ruszewski Andrzej

Identyfikatory

DOI

10.24425/acs.2019.130205

• Języki publikacji: EN

Abstrakty

EN

The stability analysis for discrete-time fractional linear systems with delays is presented. The state-space model with a time shift in the difference is considered. Necessary and sufficient conditions for practical stability and for asymptotic stability have been established. The systems with only one matrix occurring in the state equation at a delayed moment have been also considered. In this case analytical conditions for asymptotic stability have been given. Moreover parametric descriptions of the boundary of practical stability and asymptotic stability regions have been presented.

Słowa kluczowe

EN

fractional; discrete-time; stability; time-delay

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2019
• Tom: Vol. 29, No. 3
• Strony: 549--567
• Opis fizyczny: Bibliogr. 23 poz., rys., tab., wykr., wzory

Twórcy

autor

Ruszewski Andrzej

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

Bibliografia

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Uwagi

EN

2. This work was supported by National Science Centre in Poland under work No. 2017/27/B/ST7/02443.

PL

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