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Reduction and Decomposition of Singular Fractional Discrete-Time Linear Systems

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Języki publikacji
EN
Abstrakty
EN
Reduction of singular fractional systems to standard fractional systems and decomposition of singular fractional discrete-time linear systems into dynamic and static parts are addressed. It is shown that if the pencil of singular fractional linear discrete-time system is regular then the singular system can be reduced to standard one and it can be decomposed into dynamic and static parts The proposed procedures are based on modified version of the shuffle algorithm and illustrated by numerical examples.
Rocznik
Strony
62--66
Opis fizyczny
Bibliogr. 15 poz.
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autor
Bibliografia
  • 1. Dai L. (1989), Singular Control Systems, Lectures Notes in Control and Information Sciences, Springer-Verlag, Berlin.
  • 2. Dodig M., Stosic M. (2009), Singular systems state feedbacks problems, Linear Algebra and its Applications, Vol. 431, No. 8, 1267-1292.
  • 3. Fahmy M.H, O’Reill J. (1989), Matrix pencil of closed-loop descriptor systems: infinite-eigenvalues assignment, Int. J. Control, Vol. 49, No. 4, 1421-1431.
  • 4. Gantmacher F. R. (1960), The Theory of Matrices, Chelsea Publishing Co., New York.
  • 5. Kaczorek T. (2004), Infinite eigenvalue assignment by output-feedbacks for singular systems, Int. J. Appl. Math. Comput. Sci., Vol. 14, No. 1, 19-23.
  • 6. Kaczorek T. (2007a), Polynomial and Rational Matrices. Applications in Dynamical Systems Theory, Springer-Verlag, London.
  • 7. Kaczorek T. (2007b), Realization problem for singular positive continuous-time systems with delays, Control and Cybernetics, Vol. 36, No. 1, 47-57.
  • 8. Kaczorek T. (2008), Fractional positive continuous-time linear systems and their reachability, Int. J. Appl. Math. Comput. Sci., Vol. 18, No. 2, 223-228.
  • 9. Kaczorek T. (2010), Positive linear systems with different fractional orders, Bull. Pol. Ac. Sci. Techn., Vol. 58, No. 3, 453-458.
  • 10. Kaczorek T. (2011), Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin.
  • 11. Kaczorek T. York (1992), Linear Control Systems, Vol. 1, Research Studies Press J. Wiley, New.
  • 12. Kucera V., Zagalak P. (1988), Fundamental theorem of state feedback for singular systems, Automatica, Vol. 24, No. 5, 653-658.
  • 13. Luenberger D.G. (1978), Time-invariant descriptor systems, Automatica, Vol.14, 473-480.
  • 14. Podlubny I. (1999), Fractional Differential Equations, Academic Press, New York.
  • 15. Van Dooren P. (1979), The computation of Kronecker’s canonical form of a singular pencil, Linear Algebra and Its Applications, Vol. 27, 103-140,
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0062-0007
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