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Reachability of linear hybrid systems described by the general model

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The reachability of standard and positive hybrid linear systems described by the general model is addressed. Necessary and sufficient conditions for the reachability of the standard general model are established. Sufficient condition is given for the reachability of positive hybrid system described by the general model. The considerations are illustrated by numerical examples.
Rocznik
Strony
199--207
Opis fizyczny
Bibliogr. 15 poz., rys., wzory
Twórcy
autor
autor
  • Faculty of Electrical Engineering, Bialystok University of Technology, Bialystok, Poland
Bibliografia
  • [1] L. FARINA and S. RINALDI: Positive linear systems; Theory and applications. J. Wiley, New York, 2000.
  • [2] E. FORNASINI and G. MARCHESINI: State-space realization theory of twodimensional filters. IEEE Trans. on Automatic Control, AC-21 (1976), 484-491.
  • [3] E. FORNASINI and G. MARCHESINI: Double indexed dynamical systems. Math. Sys. Theory, 12 (1978), 59-72.
  • [4] T. KACZOREK: Two-dimensional linear systems. Springer Verlag, Berlin 1985.
  • [5] T. KACZOREK: Positive 1D and 2D systems. Springer-Verlag, London, 2002.
  • [6] T. KACZOREK: Pointwise completeness and pointwise degeneracy of standard and positive fractional linear systems described by the general model. Archives of Control
  • [7] T. KACZOREK: Reachability and minimum energy control of positive 2D continuous-discrete systems. Bull. Pol. Ac. Techn. Sci., 46(1), (1998), 85-93.
  • [8] T. KACZOREK: Positive 2D hybrid linear systems. Bull. Pol. Ac. Techn. Sci., 55(4), (2007), 351-358.
  • [9] T. KACZOREK: Positive fractional 2D hybrid linear systems. Bull. Pol. Ac. Techn. Sci., 56(3), (2008), 273-277.
  • [10] T. KACZOREK: Realization problem for positive 2D hybrid systems. COMPEL, 2(3), (2008), 613-623.
  • [11] T. KACZOREK: Standard and positive hybrid linear systems described by the general model. 15th Int. Conf. on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, (2010), submitted.
  • [12] T. KACZOREK: The Control and Systems Theory. PWN,Warsaw, 1996, (in Polish).
  • [13] T. KACZOREK, V. MARCHENKO and Ł. SAJEWSKI: Solvability of 2D hybrid linear systems- Comparison of three different methods. Acta Mechanica et Automatica, 2(2), (2008), 59-65.
  • [14] J. KUREK: The general state-space model for a two-dimensional linear digital systems. IEEE Trans. on Automatic Control, AC-30 (1985), 600-602.
  • [15] R. P. ROESSER: A discrete state-space model for linear image processing. IEEE Trans. on Automatic Control, AC-20(1), (1975), 1-10.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0073-0006
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