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Tytuł artykułu

Positive Realization of SISO 2D Different Orders Fractional Discrete-Time Linear Systems

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Języki publikacji
EN
Abstrakty
EN
The realization problem for single-input single-output 2D positive fractional systems with different orders is formulated and a method based on the state variable diagram for finding a positive realization of a given proper transfer function is proposed. Sufficient conditions for the existence of a positive realization of this class of 2D linear systems are established. A procedure for computation of a positive realization is proposed and illustrated by a numerical example.
Rocznik
Strony
122--127
Opis fizyczny
Bibliogr. 33 poz., Wykr.
Twórcy
autor
Bibliografia
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  • 6. Kaczorek T. (2002), Positive 1D and 2D Systems, SpringerVerlag, London.
  • 7. Kaczorek T. (2004), Realization problem for positive discrete-time systems with delay, System Science, vol. 30, no. 4, 117-130.
  • 8. Kaczorek T. (2005), Positive minimal realizations for singular discrete-time systems with delays in state and delays in control, Bull. Pol. Acad. Sci. Techn., vol 53, no. 3, 293-298.
  • 9. Kaczorek T. (2006a), A realization problem for positive continues-time linear systems with reduced numbers of delay, Int. J. Appl. Math. Comp. Sci., Vol. 16, No. 3, pp. 325-331.
  • 10. Kaczorek T. (2006b), Computation of realizations of discretetime cone systems, Bull. Pol. Acad. Sci. Techn., vol. 54, no. 3, 2006, 347-350.
  • 11. Kaczorek T. (2006c), 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.
  • 12. Kaczorek T. (2007), Positive 2D hybrid linear systems, Bull. Pol. Acad. Sci. Techn., vol 55, no. 4, 351-358.
  • 13. Kaczorek T. (2008a), Fractional positive continuous-time linear systems and their reachability, Int. J. Appl. Math. Comput. Sci., vol. 18, no. 2, 223-228.
  • 14. Kaczorek T. (2008b), Realization problem for fractional continuous-time systems, Archives of Control Sciences, vol. 18, no. 1, 43-58.
  • 15. Kaczorek T. (2008c), Realization problem for positive 2D hybrid systems, COMPEL, vol. 27, no. 3, 613-623.
  • 16. Kaczorek T. (2008d), Realization problem for positive fractional discrete-time linear systems, Pennacchio S. (Ed.): Emerging Technologies, Robotics and Control Systems, Int. Society for Advanced Research, 226-236.
  • 17. Kaczorek T. (2008e), Positive fractional 2D hybrid linear systems, Bull. Pol. Acad. Sci. Techn., vol 56, no. 3, 273-277.
  • 18. Kaczorek T. (2009a), Fractional positive linear systems, Kybernetes: The International Journal of Systems & Cybernetics, vol. 38, no. 7/8, 1059–1078.
  • 19. Kaczorek T. (2009b), Wybrane zagadnienia teorii układów niecałkowitego rzędu. Oficyna Wydawnicza Politechniki Białostockiej, Rozprawy Naukowe Nr 174, Białystok.
  • 20. Kaczorek T. (2011), Selected Problems in Fractional Systems Theory, Springer-Verlag.
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  • 31. Rogowski K., Kaczorek T. (2010), Positivity and stabilization of fractional 2D linear systems described by the Roesser model, International Journal of Applied Mathematics and Computer Science, vol. 20, no. 1, 85-92.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0051-0030
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