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2011 | 21 | 4 | 697-702
Tytuł artykułu

Positive stable realizations of fractional continuous-time linear systems

Treść / Zawartość
Warianty tytułu
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.
Rocznik
Tom
21
Numer
4
Strony
697-702
Opis fizyczny
Daty
wydano
2011
otrzymano
2011-04-20
poprawiono
2011-05-26
Twórcy
  • Faculty of Electrical Engineering, Białystok Technical University, ul. Wiejska 45D, 15-351 Białystok, Poland
Bibliografia
  • Benvenuti, L. and Farina, L. (2004). A tutorial on the positive realization problem, IEEE Transactions on Control 49(5): 651-664.
  • Farina, L. and Rinaldi, S. (2000). Positive Linear Systems, Theory and Applications, J. Wiley, New York, NY.
  • Kaczorek, T. (1992). Linear Control Systems, Vol. 1, Research Studies Press, J. Wiley, New York, NY.
  • Kaczorek, T. (2002). Positive 1D and 2D Systems, Springer-Verlag, London.
  • Kaczorek, T. (2004). Realization problem for positive discretetime systems with delay, System Science 30(4): 117-130.
  • 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.
  • Kaczorek, T. (2006a). A realization problem for positive continuous-time systems with reduced numbers of delays, International Journal of Applied Mathematics and Computer Science 16 (3): 325-331.
  • Kaczorek, T. (2006b). Computation of realizations of discretetime cone systems, Bulletin of the Polish Academy of Sciences: Technical Siences 54(3): 347-350.
  • Kaczorek, T. (2006c). Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs, International Journal of Applied Mathematics and Computer Science 16(2): 169-174.
  • Kaczorek, T. (2008a). Fractional positive continuous-time linear systems and their reachability, International Journal of Applied Mathematics and Computer Science 18(2): 223-228, DOI: 10.2478/v10006-008-0020-0.
  • Kaczorek, T. (2008b). Realization problem for fractional continuous-time systems, Archives of Control Sciences 18(1): 43-58.
  • Kaczorek, T. (2008c). Realization problem for positive 2D hybrid systems, COMPEL 27(3): 613-623.
  • Kaczorek, T. (2009a). Fractional positive linear systems, Kybernetes: The International Journal of Systems & Cybernetics 38 (7/8): 1059-1078.
  • Kaczorek, T. (2009b). Polynomial and Rational Matrices, Springer-Verlag, London.
  • Kaczorek, T. (2011). Selected Problems in Fractional Systems Theory, Springer-Verlag, Berlin.
  • Kilbas, A.A., Srivastava, H.M. and Trujillo, J.J. (2006). Theory and Applications of Fractional Differential Equations, North-Holland, Amsterdam.
  • Podlubny, I. (1999). Fractional Differential Equations, Academic Press, San Diego, CA.
  • Shaker, U. and Dixon, M. (1977). Generalized minimal realization of transfer-function matrices, International Journal of Control 25(5): 785-803.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv21i4p697bwm
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