Approximation of fractional positive stable continuous-time linear systems by fractional positive stable discrete-time systems

• Autorzy: Tadeusz Kaczorek
• Języki publikacji: EN

Abstrakty

EN

Fractional positive asymptotically stable continuous-time linear systems are approximated by fractional positive asymptotically stable discrete-time systems using a linear Padé-type approximation. It is shown that the approximation preserves the positivity and asymptotic stability of the systems. An optional system approximation is also discussed.

Słowa kluczowe

EN

Padé approximation; fractional system; linear positive system

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: 23
• Numer: 3
• Strony: 501-506

Daty

wydano

2013

otrzymano

2013-03-07

poprawiono

2013-06-12

Twórcy

autor

Tadeusz Kaczorek

• Faculty of Electrical Engineering, Białystok Technical University, ul. Wiejska 45D, 15-351 Białystok, Poland

Bibliografia

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• Busłowicz, M. and Kaczorek, T. (2009). Simple conditions for practical stability of positive fractional discrete-time linear systems, International Journal of Applied Mathematics and Computer Science 19(2): 263-269, DOI: 10.2478/v10006-009-0022-6.
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• Kaczorek, T. (2011). Selected Problems of Fractional System Theory, Springer-Verlag, Berlin.
• Kaczorek, T. (2013). Approximation of positive stable continuous-time linear systems by positive stable discrete-time systems, Pomiary Automatyka Robotyka 59 (2): 359-364.
• Kaczorek, T. (2011). Necessary and sufficient conditions of stability of fractional positive continuous-time linear systems, Acta Mechanica et Automatica 5(2): 52-54.

Identyfikatory

DOI

10.2478/amcs-2013-0038