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Stability of continuous-discrete linear systems with delays in state vector

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Języki publikacji
EN
Abstrakty
EN
A new class of positive continuous-discrete linear systems with delays in state vector described by the model based on 2D general model is addressed. Necessary and sufficient conditions for the positivity and asymptotic stability of this class of linear systems are established. A procedure for checking the asymptotic stability is proposed. The effectiveness of the procedure is demonstrated on a numerical example.
Słowa kluczowe
Rocznik
Strony
25--36
Opis fizyczny
Bibliogr. 19 poz., rys., tab.
Twórcy
autor
autor
  • Faculty of Electrical Engineering, Bialystok University of Technology, Poland
Bibliografia
  • [1] Y. BISTRITZ: A stability test for continuous-discrete bivariate polynomials. Proc. Int. Symp. on Circuits and Systems, 3 (2003), 682-685.
  • [2] M. BUSLOWICZ: Improved stability and robust stability conditions for a general model of scalar continuous-discrete linear systems. Measurement Automation and Monitoring, (submitted for publication).
  • [3] M. BUSLOWICZ: Stability and robust stability conditions for a general model of scalar continuous-discrete linear systems. Measurement Automation and Monitoring, 56(2), (2010), 133-135.
  • [4] M. BUSLOWICZ: Robust stability of the new general 2D model of a class of continuous-discrete linear systems. Bull. Pol. Acad. Sci. Techn., 57(4), (2010).
  • [5] M. DYMKOV, I. GAISHUN, E. ROGERS, K. GALKOWSKI and D. H. OWENS: Control theory for a class of 2D continuous-discrete linear systems. Int. J. Control, 77(9), (2004), 847-860.
  • [6] L. FARINA and S. RINALDI: Positive linear systems; Theory and applications. J. Wiley, New York, 2000.
  • [7] K. GAŁKOWSKI, E. ROGERS, W. PASZKE and D. H. OWENS: Linear repetitive process control theory applied to a physical example. Int. J. Appl. Math. Comput. Sci., 13(1), (2003), 87-99.
  • [8] T. KACZOREK: Reachability and minimum energy control of positive 2D continuous-discrete systems. Bull. Pol. Acad. Sci. Techn., 46(1). (1998), 85-93.
  • [9] T. KACZOREK: Positive ID and 2D Systems. Springer-Verlag, London, 2002.
  • [10] T. KACZOREK: Positive 2D hybrid linear systems. Bull. Pol. Acad. Sci. Tech., 55(4), (2007); 351-358.
  • [11] T. KACZOREK: Positive fractional 2D hybrid linear systems. Bull. Pol. Acad. Tech., 56(3), (2008), 273-277.
  • [12] T. KACZOREK: Realization problem for positive 2D hybrid systems. COMPEL, 27(3), (2008), 613-623.
  • [13] T. KACZOREK: Stability of positive continuous-time linear systems with delays. Bid. Pol. Acad. Sci. Techn., 57(4), (2009), 395-398.
  • [14] T. KACZOREK, V. MARCHENKO and L. SAJEWSKI: Solvability of 2D hybrid linear systems - comparison of the different methods. Acta Mechanica et Automatica, 2(2), (2008), 59-66.
  • [15] K. S. NARENDRA and R. SHORTEN: Hurwitz stability of Metzler matrices. IEEE Trans. Autom. Contr., 55(6), (2010), 1484-1487.
  • [16] L. SAJEWSKI: Solution of 2D singular hybrid linear systems. Kybernetes, 38(7/8), (2009), 1079-1092.
  • [17] Y. XIAO: Stability test for 2-D continuous-discrete systems. Proc. 40th IEEE Conf. on Decision and Control, 4 (2001), 3649-3654.
  • [18] Y. XIAO: Stability, controllability and observability of 2-D continuous-discrete systems. Proc. Int. Symp. on Circuits and Systems, 4 (2003), 468-471.
  • [19] Y. XIAO: Robust Hurwitz-Schur stability conditions of polytopes of 2-D polynomials. Proc. 40th IEEE Conf. on Decision and Control, 4 (2001), 3643-3648.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0081-0002
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