Have a personal or library account? Click to login
POSITIVE MINIMAL REALIZATION OF CONTINUOUS-DISCRETE LINEAR SYSTEMS WITH ALL-POLE AND ALL-ZERO TRANSFER FUNCTION Cover

POSITIVE MINIMAL REALIZATION OF CONTINUOUS-DISCRETE LINEAR SYSTEMS WITH ALL-POLE AND ALL-ZERO TRANSFER FUNCTION

Open Access
|Jan 2014

References

  1. 1. Antoniou G. E. (2002), Minimal state space realization for all-pole and all-zero lattice discrete 2D filters, International Journalof Systems Science, Vol. 33, No. 10, 799-803.
  2. 2. Benvenuti L., Farina L. (2004), A tutorial on the positive realization problem, IEEE Trans. on Autom. Control, Vol. 49, No. 5, 651-664.
  3. 3. Dymkov M., Gaishun I., Rogers E., Gałkowski K., Owens D. H. (2004), Control theory for a class of 2D continuous-discrete linear systems, Int. J. Control Vol. 77, No. 9, 847-860.
  4. 4. Farina L., Rinaldi S. (2000), Positive Linear Systems; Theory andApplications, J. Wiley, New York.10.1002/9781118033029
  5. 5. Kaczorek T. (1992), Linear control systems, Vol. 1, Research Studies Press J. Wiley, New York.
  6. 6. Kaczorek T. (2002), Positive 1D and 2D Systems, Springer-Verlag, London.10.1007/978-1-4471-0221-2
  7. 7. Kaczorek T. (2004), Realization problem for positive discrete-time systems with delay, System Science, Vol. 30, No. 4, 117-130.
  8. 8. Kaczorek T. (2005), Positive minimal realizations for singular discrete-time systems with delays in state and delays in control, Bull.Pol. Acad. Sci. Tech., Vol. 53, No. 3, 293-298.
  9. 9. Kaczorek T. (2006a), A realization problem for positive continuoustime linear systems with reduced numbers of delay, Int. J. Appl.Math. Comp. Sci., Vol. 16, No. 3, 325-331.
  10. 10. Kaczorek T. (2006b), Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs, Int. J. Appl. Math. Comp. Sci., Vol. 16, No. 2, 101-106.
  11. 11. Kaczorek T. (2007), Positive 2D hybrid linear systems, Bull. Pol.Acad. Sci. Tech., Vol. 55, No. 4,351-358.
  12. 12. Kaczorek T. (2008a), Positive fractional 2D hybrid linear systems, Bull. Pol. Acad. Tech., Vol. 56, No. 3, 273-277.
  13. 13. Kaczorek T. (2008b), Realization problem for positive 2D hybrid systems, COMPEL, Vol. 27, No. 3, 613-623.10.1108/03321640810861061
  14. 14. Kaczorek T., Busłowicz M. (2004), Minimal realization problem for positive multivariable linear systems with delay, Int. J. Appl. Math.Comput. Sci., Vol. 14, No. 2, 181-187.
  15. 15. Kaczorek T., Marchenko V., Sajewski Ł. (2008), Solvability of 2D hybrid linear systems - comparison of the different methods, ActaMechanica et Automatica, Vol. 2, No. 2, 59-66.
  16. 16. Kurek J. (1985), The general state-space model for a twodimensional linear digital system, IEEE Trans. on Austom. Contr., AC-30, 600-602.10.1109/TAC.1985.1103998
  17. 17. Roesser R. B. (1975), A discrete state-space model for linear image processing, IEEE Trans. on Autom. Contr., AC-20, 1-10.
  18. 18. Sajewski Ł. (2009), Solution of 2D singular hybrid linear systems, Kybernetes, Vol. 38, No. 7/8, 2009, 1079-1092.
  19. 19. Sajewski Ł., Kaczorek T. (2009), Computation of positive realizations of singular SISO hybrid linear systems, JAMRIS, Vol. 3, No. 4, 8-14.
  20. 20. Sajewski Ł., Kaczorek T. (2010), Computation of positive realizations of MIMO hybrid linear systems in the form of second Fornasini-Marchesini model, Archives of Control Sciences, Vol. 20, No. 3, 253-271.
  21. 21. Sun-Yuan Kung, Levy B.C., Morf M., Kailath T. (1977), New Results in 2-D Systems Theory, Part II: 2-D State-Space Models- Realization and the Notions of Controllability, Observability and Minimality, Proc. of the IEEE, Vol. 65, No. 6, 945-961.10.1109/PROC.1977.10592
  22. 22. Varoufakis S. J., Paraskevopoulos P.N., Antoniou G. E. (1987), On the minimal state-space realizations of all-pole and all-zero 2-D systems, IEEE Trans. on Circ. and Sys., Vol. 34, No. 3, 289-292.
DOI: https://doi.org/10.2478/ama-2013-0008 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Language: English
Page range: 42 - 47
Published on: Jan 22, 2014
Published by: Bialystok University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2014 Łukasz Sajewski, published by Bialystok University of Technology
This work is licensed under the Creative Commons License.