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Warianty tytułu
Języki publikacji
Abstrakty
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
Strony
697--702
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
- Faculty of Electrical Engineering, Białystok Technical University, ul. Wiejska 45D, 15-351 Białystok, Poland, kaczorek@isep.pw.edu.pl
Bibliografia
- [1] Benvenuti, L. and Farina, L. (2004). A tutorial on the positive realization problem, IEEE Transactions on Control 49(5): 651-664.
- [2] Farina, L. and Rinaldi, S. (2000). Positive Linear Systems, Theory and Applications, J. Wiley, NewYork, NY.
- [3] Kaczorek, T. (1992). Linear Control Systems, Vol. 1, Research Studies Press, J. Wiley, New York, NY.
- [4] Kaczorek, T. (2002). Positive 1D and 2D Systems, Springer-Verlag, London.
- [5] Kaczorek, T. (2004). Realization problem for positive discrete-time systems with delay, System Science 30(4): 117-130.
- [6] 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.
- [7] 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.
- [8] Kaczorek, T. (2006b). Computation of realizations of discrete-time cone systems, Bulletin of the Polish Academy of Sciences: Technical Siences 54(3): 347-350.
- [9] 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.
- [10] 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.
- [11] Kaczorek, T. (2008b). Realization problem for fractional continuous-time systems, Archives of Control Sciences 18(1): 43-58.
- [12] Kaczorek, T. (2008c). Realization problem for positive 2D hybrid systems, COMPEL 27(3): 613-623.
- [13] Kaczorek, T. (2009a). Fractional positive linear systems, Kybernetes: The International Journal of Systems & Cybernetics 38 (7/8): 1059-1078.
- [14] Kaczorek, T. (2009b). Polynomial and Rational Matrices, Springer-Verlag, London.
- [15] Kaczorek, T. (2011). Selected Problems in Fractional Systems Theory, Springer-Verlag, Berlin.
- [16] Kilbas, A. A., Srivastava, H. M. and Trujillo, J. J. (2006). Theory and Applications of Fractional Differential Equations, North-Holland, Amsterdam.
- [17] Podlubny, I. (1999). Fractional Differential Equations, Academic Press, San Diego, CA.
- [18] Shaker, U. and Dixon, M. (1977). Generalized minimal realization of transfer-function matrices, International Journal of Control 25(5): 785-803.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0073-0039