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Pointwise completeness and pointwise degeneracy of standard and positive hybrid linear systems described by the general model

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Języki publikacji
EN
Abstrakty
EN
Necessary and sufficient conditions for the pointwise completeness and pointwise degeneracy of the standard and positive hybrid linear systems described by the general model are established. It is shown that the standard general model is always pointwise complete and it is not pointwise degenerated and the positive general model is pointwise complete if and only if its matrix A2 is diagonal.
Rocznik
Strony
123--131
Opis fizyczny
Bibliogr. 23 poz., wzory
Twórcy
autor
  • Faculty of Electrical Engineering, Bialystok University of Technology, Bialystok, Poland
Bibliografia
  • [1] M. BUSŁOWICZ: Pointwise completeness and pointwise degeneracy of linear discrete-time systems of fractional order. Zesz. Nauk. Pol. Slaskiej, Automatyka, No. 151, (2008), 19-24 (in Polish).
  • [2] M. BUSŁOWICZ, R. KOCISZEWSKI and M. TRZASKO: Pointwise completeness and pointwise degeneracy of positive discrete-time systems with delays. Zesz. Nauk. Pol. Slaskiej, Automatyka, No. 145, (2006), 55-56 (in Polish).
  • [3] A. K. CHOUNDHURY: Necessary and sufficient conditions of pointwise completeness of linear time-invariant delay-differential systems. Int. J. Control, 16(6), (1972), 1083-1100.
  • [4] L. FARINA and S. RINALDI: Positive linear systems; Theory and applications. J. Wiley, New York, 2000.
  • [5] E. FORNASINI and G. MARCHESINI: State-space realization theory of twodimensional filters. IEEE Trans. on Automatic Control, AC-21 (1976), 484-491.
  • [6] E. FORNASINI and G. MARCHESINI: Double indexed dynamical systems. Math. Sys. Theory, 12 (1978), 59-72.
  • [7] T. KACZOREK: Two-dimensional linear systems. Springer Verlag, Berlin 1985.
  • [8] T. KACZOREK: Positive 1D and 2D systems. Springer-Verlag, London, 2002.
  • [9] T. KACZOREK: Pointwise completeness and pointwise degeneracy of standard and positive linear systems with state-feedbacks. JAMRIS, 4(1), (2010), 3-7.
  • [10] T. KACZOREK: Pointwise completeness and pointwise degeneracy of standard and positive fractional linear systems with state-feedbacks. Archives of Control Sciences, 19 (2009), 295-306.
  • [11] T. KACZOREK: Pointwise completeness and pointwise degeneracy of 2D standard and positive Fornasini-Marchesini models. COMPEL, 39(3), (2010), (in Press).
  • [12] T. KACZOREK: Reachability and minimum energy control of positive 2D continuous-discrete systems. Bull. Pol. Ac. Techn. Sci., 46(1), (1998), 85-93.
  • [13] T. KACZOREK: Positive 2D hybrid linear systems. Bull. Pol. Ac. Techn. Sci., 55(4), (2007), 351-358.
  • [14] T. KACZOREK: Positive fractional 2D hybrid linear systems. Bull. Pol. Ac. Techn. Sci., 56(3), (2008), 273-277.
  • [15] T. KACZOREK: Realization problem for positive 2D hybrid systems. COMPEL, 2(3), (2008), 613-623.
  • [16] T. KACZOREK and M. BUSŁOWICZ: Pointwise completeness and pointwise degeneracy of linear continuous-time fractional order systems. J. of Automation, Mobile Robotics & Intelligent Systems, 3(1), (2009), 8-11.
  • [17] T. KACZOREK, V. MARCHENKO and Ł. SAJEWSKI: Solvability of 2D hybrid liner systems- Comparison of three different methods. Acta Mechanica et Automatica, 2(2), (2008), 59-65.
  • [18] J. KUREK: The general state-space model for a two-dimensional linear digital systems. IEEE Trans. on Automatic Control, AC-30 (1985), 600-602.
  • [19] A. OLBROT: On degeneracy and related problems for linear constant time-lag systems. Ricerche di Automatica, 3(3), (1972), 203-220.
  • [20] V. M. POPOV: Pointwise degeneracy of linear time-invariant delay-differential equations. Journal of Diff. Equation, 11 (1972), 541-561.
  • [21] R. P. ROESSER: A discrete state-space model for linear image processing. IEEE Trans. on Automatic Control, AC-20(1), (1975), 1-10.
  • [22] W. TRZASKO, M. BUSŁOWICZ and T. KACZOREK: Pointwise completeness of discrete-time cone-systems with delays. Proc. EUROCON 2007, Warsaw, (2007), 606-611.
  • [23] L. WEISS: Controllability for various linear and nonlinear systems models. Lecture Notes in Mathematics, 144 Seminar on Differential Equations and Dynamic System II, Springer, Berlin 1970, 250-262.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0073-0001
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