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Positive realization of 2d general model

Autorzy
Identyfikatory
Warianty tytułu
Konferencja
IV konferencja LOGITRANS, Szczyrk 25-27 kwietnia 2007
Języki publikacji
EN
Abstrakty
EN
The positive realization problem for two dimensional (2D) general model is addressed. Sufficient conditions for the existence of a positive realization of a given strictly proper transfer matrix are established. Procedures for computation of a positive realization of a given strictly proper transfer matrix is proposed and illustrated by examples.
Czasopismo
Rocznik
Tom
Strony
CD--CD
Opis fizyczny
pełny tekst, Bibliogr. 25 poz.
Twórcy
autor
  • Warsaw University of Technology, Electrical Department Institute of Control and Industrial Electronics, Koszykowa 75, 00-625 Warsaw, Poland, kaczorek@isep.pw.edu.pl
Bibliografia
  • 1. N. K. Bose, Applied Multidimensional Systems Theory, Van Nostrand Reinhold Co, new York 1982.
  • 2. N. K. Bose, Multidimensional Systems Theory Progress, Directions and Open Problems, D. Reidel Publishing Co., 1985.
  • 3. L. Farina and S. Rinaldi, Positive Linear Systems; Theory and Applications, J. Wiley, New York, 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, 12:59-72, 1978.
  • 6. Fornasini E., Marchesini G., Computation of reachable and observable realization of spatial filters, Int. J. Control, vol. 25, No. 4, pp. 621-635, 1977
  • 7. Esing R., Realization and stabilization of 2D systems, IEEE Trans. Auto. Contr. , vol. AC-23, no. 5, pp. 793-799, 1978
  • 8. Gałkowski K., Elementary operation approach to state space realization of 2D systems, IEEE Trans. On Circuit and Systems, Vol. 44, 1997, pp. 120-129.
  • 9. Gałkowski K., State space realizations of linear 2D systems with extensions to the general nD (n>2) case, Springer Verlag London 2001.
  • 10. Kaczorek T., Two-Dimensional Linear Systems, Springer Verlag, Berlin 1985
  • 11. Kaczorek T., Positive 1D and 2D systems, Springer Verlag, London 2002
  • 12. Kaczorek T., Reachability and controllability of non-negative 2D Roesser type models, Bull. Acad. Pol. Sci. Ser. Sci. Techn., Vol. 44, No 4, 1996, pp. 405-410
  • 13. Kaczorek T., Reachability and minimum energy control of positive 2D systems with delays, Control and Cybernetics, vol. 34, No 2, 2005, pp. 411-423.
  • 14. Kaczorek T., Minimal positive realizations for discrete-time systems with state timedelays, 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, No. 1, 2003, pp. 15-29.
  • 16. T. Kaczorek, Realization problem for a class of positive continuous-time systems with delays, Int. J. Appl. Math. Comp. Sci., vol. 15, No. 4, 2005, pp. 101-107.
  • 17. Kaczorek T Realization Problem for Singular Positive Multivariable Continuous-Time systems with delays, MTNS Conference, Kyoto 2006
  • 18. Kaczorek T., Positive 2D systems with delays, Proc. of MMAR Conf., Międzyzdroje, August 28-31, 2006
  • 19. T. Kaczorek and M. Busłowicz, Minimal realization for positive multivariable lineał systems with delay, Int. J. Appl. Math. Comput. Sci., 2004, vol. 14, No 2, pp. 181-187.
  • 20. Kung S.Y., Levy B.C., Morf M., Kailath T., New result in 2-D systems theory, Part II: 2D state space models-realization and the notions of controllability, observability and minimality, Proc. IEEE vol. 65, pp. 945-961, 1977
  • 21. 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
  • 22. Roesser R.P., A discrete state-space model for linear image processing, IEEE Trans. on Automatic Control, AC-20, 1, 1-10, 1975
  • 23. Venkatarman V., Levy B. C., State space representation of 2D FIR lossless transfer matrices, IEEE Trans Circ. Syst. II, vol. 41, No. 2, pp. 117-132, 1994
  • 24. Xu L., Wu L., Wu Q., Lin Z., Ciao Y., On realization of 2D discrete systems by Fornasini- Marchesini model, Int. J. Control, Automation and Systems, vol. 3, no. 4, pp. 631-639, 2005
  • 25. Xu L. Fan H., Lin Z., Xiao Y., Anazawa Y., A constructive procedure for multidimensional realization and LFR uncertainty modeling, Proc. ISCAS 2005, pp. 2044-2047, Kobe, Japan, 2005
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPLA-0007-0022
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