Positive stable realizations of fractional continuous-time linear systems

• Autorzy: Tadeusz Kaczorek
• Języki publikacji: EN

Abstrakty

EN

Conditions for the existence of positive stable realizations with system Metzler matrices for fractional continuous-time linear systems are established. A procedure based on the Gilbert method for computation of positive stable realizations of proper transfer matrices is proposed. It is shown that linear minimum-phase systems with real negative poles and zeros always have positive stable realizations.

Słowa kluczowe

EN

fractional; positive; stable; realization; system Metzler matrix; procedure; linear continuous-time

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2011
• Tom: 21
• Numer: 4
• Strony: 697-702

Daty

wydano

2011

otrzymano

2011-04-20

poprawiono

2011-05-26

Twórcy

autor

Tadeusz Kaczorek

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

Bibliografia

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• Kaczorek, T. (2002). Positive 1D and 2D Systems, Springer-Verlag, London.
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• Kaczorek, T. (2005). Positive minimal realizations for singular discrete-time systems with delays in state and delays in control, Bulletin of the Polish Academy of Sciences: Technical Siences 53(3): 293-298.
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• Kaczorek, T. (2008b). Realization problem for fractional continuous-time systems, Archives of Control Sciences 18(1): 43-58.
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Identyfikatory

DOI

10.2478/v10006-011-0055-5