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State variable diagram methods for determination of positive realizations of 2D systems with delays

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Abstrakty
EN
Realization problem for positive singie-input single-output systems with delays in stale vector and inputs described by the 2D general model is addressed. Sufficient condition for the existence of o positive reaiization are established and a procedurę for finding a positive reaiization for o given proper transfer function is proposed. The procedure is illustrated by a numerical examp!e.
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  • Professor at the Institute of Control and Industrial Electronics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, Poland, kaczorek@isep.pw.edu.pl
Bibliografia
  • [1] Bose N. K., Applied Multidimensional Systems Theory,New York: Van Nostrand Reinhold Co., 1932.
  • [2] Bose N. K., Multidimensional Systems Theory Progress, Directions and Open Problems, D. reidel Publishing Co., 1985.
  • [3] Farina L. and Rinaldi S., Positive Linear Systems; Theory and Applications, New York: J. Wiley, 2000.
  • [4] Fornasini E. and Marchesini G.,”State-space realization theory of two-dimensional filters", IEEE Trans. Autom.Contr., vol. AC-21,1976, pp. 484-491.
  • [5] Fornasini E, and Marchesini G., "Double indexed dynamical systems", Math. Sys. Theory, 1978, no. 12, pp. 59-72.
  • [6] Gałkowski K., "Elementary operation approach to state space realization of 2D systems”, IEEE Trans. On Circuit and Systems,vol. 44,1997, pp. 120-129.
  • [7] Gałkowski K., State space realizations of linear 2D systems with extensions to the general nD (n>2) case, London: Springer Verlag, 2001.
  • [8] Kaczorek T. , Two Dimensional Linear Systems, Berlin, Springer-Verlag, 1985.
  • [9] Kaczorek T., Positive ID and 2D systems, London: SpringerVerlag, 2002.
  • [10] Kaczorek T., "Reachability and controllability of non-negative 2D Roesser type models", Bull Acad. Pol. Ser. Sci. Techn.,vol. 44, 1996, no. 4, pp. 405-410.
  • [11] Kaczorek T. "Reachability index of the positive 2D general models", Bull. Pol. Acad. Tech., vol 52, 2004, no. 1, pp. 79-81.
  • [12] Kaczorek T., "Some recent developments in positive systems", Proc. 7th Conference of Dynamical Systems Theory and Applications, Łódź 2003, pp. 25-35.
  • [13] Kaczorek T., "Reachability and minimum energy control of positive 2D systems with delays", Control and Cybernetics, vol. 34, 2005, no. 2, pp. 411-423.
  • [14] Kaczorek T., "Minimal positive realizations for discrete-time systems with state time-delays", The Inter. J. for Comp. and Math. in Elec. and Electronics Eng., 2006 (in Press).
  • [15] Kaczorek T. "Realization problem for positive discrete-time systems with delays", System Science, vol. 29, 2003, no. 1, pp. 15-29.
  • [16] Kaczorek T., "Realization problem for a class of positive continuous-time systems with delays", Int. J. Appl.Math. Comp. Sci., vol. 15, 2005, no. 4, pp. 101-107.
  • [17] Kaczorek T., "Realization problem for a class of positive continuous-time systems with delays", Int. J. Appl. Math Comput Sci., vol. 15, 2005, no. 4, pp. 101-107.
  • [18] Kaczorek T., Positive 2D systems with delays, Submitted to MMAR Conference.
  • [19] Kaczorek T. and M. Busłowicz, '"'Minimal realization for positive multivariable linear systems with delay, Int.J. Appl. Math. Comput. Sci., vol. 14, 2004, no. 2, pp.181-187.
  • [20] Kaczorek T. and M. Busłowicz, "Determination of positive realization of singular continuous-time systems with delays by state variables diagram method", Proc.of Conf "Automation", 22-24 March 2006, Warsaw, Poland, pp. 352-361.
  • [21] Klamka J., Controllability of dynamical systems, Dordrecht: Kluwer Academic Publ, 1991.
  • [22] Kurek J., "The general state-space model for a two-dimensional linear digital systems”, IEEE Trans. Autom.Contr., AC-30, June 1985, pp. 600-602.
  • [23] Roesser R.P.,"A discrete state-space model for linear image processing", IEEE Trans. on Automatic Control, AC-20,1975, no. 1, pp. 1-10.
  • [24] Valcher M. E., "On the initial stability and asymptotic behavior of 2D positive systems", IEEE Trans. On Circuits and Systems-I, vol. 44,1997, no. 7, pp, 602—613.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ5-0012-0008
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