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Positive stable realizations with system Metzler matrices

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Conditions for the existence of positive stable realizations with system Metzler matrices for linear continuous-time systems are established. A procedure for finding a positive stable realization with system Metzler matrix based on similarity transformation of proper transfer matrices is proposed and demonstrated on numerical examples. It is shown that if the poles of stable transfer matrix are real then the classical Gilbert method can be used to find the positive stable realization.
Rocznik
Strony
167--188
Opis fizyczny
Bibliogr. 16 poz., rys., tab.
Twórcy
autor
  • Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland
Bibliografia
  • [1] L. BENVENUTI and L. FARINA: A tutorial on the positive realization problem. IEEE Trans. Autom. Control, 49(5), (2004), 651-664.
  • [2] L. Farina and S. Rinaldi: Positive linear systems, Theory and applications. J. Wiley, New York, 2000.
  • [3] T. Kaczorek: A realization problem for positive continuous-time linear systems with reduced numbers of delays. Int. J. Appl. Math. Comp. Sci. 16(3), (2006), 325-331.
  • [4] T. KACZOREK: Computation of realizations of discrete-time cone systems. Buli. Pol. Acad. Sci. Techn, 54(3), (2006), 347-350.
  • [5] T. KaczoREK: Fractional positive continuous-time linear systems and their reach-ability. Int. J. Appl. Math. Comput. ScL, 18(2), (2008), 223-228.
  • [6] T. KACZOREK: Fractional positive linear systems. Kybernetes: The International J. of Systems & Cybernetics, 38(7/8), (2009), 1059-1078.
  • [7] T. KACZOREK: Linear control systems, vol.l, Research Studies Press. J. Wiley, New York, 1992.
  • [8] T. KACZOREK: Positive ID and 2D systems. Springer-Veflag, London, 2002.
  • [9] T. KACZOREK: Polynomial and rational matrices. Springer-Verlag, London, 2009.
  • [10] T. Kaczorek: Realization problem for fractional continuous-time systems. Archives of Control Sciences, 18(1), (2008), 43-58.
  • [11] T. Kaczorek: Realization problem for positive 2D hybrid systems. COMPEL, 27(3), (2008), 613-623.
  • [12] T. Kaczorek: Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs. Int. J. Appl. Math. Comp. ScL, 16(2), (2006), 101-106.
  • [13] T. Kaczorek: Realization problem for positive discrete-time systems with delay. System Science, 30(4), (2004), 11-7-130.
  • [14] T. Kaczorek: Positive minimal realizations for singular discrete-time systems with delays in state and delays in control. BulL. Pol. Acad. Sci. Techn., 53(3), (2005), 293-298.
  • [15] T. Kaczorek: Selected Problems in Fractional Systems Theory. Springer-Verlag, 2011.
  • [16] U. Shaker and M. DIXON; Generalized minimal realization of transfer-function matrices. Int. J. Contr., 25(5), (1977), 785-803.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0081-0010
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