Skip to main content
Have a personal or library account? Click to login
Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils Cover

Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils

International Journal of Applied Mathematics and Computer Science
Volume 23 (2013): Issue 1 (March 2013)
By:   
Open Access
|Mar 2013
References

References

  1. Bru, R. , Coll, C., Romero-Vivo S. and Sanchez, E. (2003). Some problems about structural properties of positive descriptor systems,L. Benvenuti, A. Santis and L. Farina (Eds.),, Lecture Notes in Control and Information Sciences, Vol. 294, Springer, Berlin, pp. 233-240.
    Open DOISearch in Google Scholar
  2. Bru, R., Coll, C. and Sanchez, E. (2000). About positively discrete-time singular systems,N.E. Mastorakis (Ed.), Electrical and Computer Engineering Series, World Scientific and Engineering Society, Athens, pp. 44-48.
    Search in Google Scholar
  3. Bru, R., Coll, C. and Sanchez, E. (2002). Structural properties of positive linear time-invariant difference-algebraic equations,(1-3): 1-10.
    Open DOISearch in Google Scholar
  4. Campbell, S.L.,Meyer, C.D. and Rose, N.J. (1976). Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients,(3): 411-425.
    Open DOISearch in Google Scholar
  5. Commalut, C. and Marchand, N. (2006)., Lecture Notes in Control and Information Sciences, Vol. 341, Springer-Verlag, Berlin.
    Search in Google Scholar
  6. Dai, L. (1989)., Lectures Notes in Control and Information Sciences, Vol. 118, Springer-Verlag, Berlin.
    Search in Google Scholar
  7. Dodig, M. and Stosic, M. (2009). Singular systems state feedbacks problems,(8): 1267-1292.
    Open DOISearch in Google Scholar
  8. Fahmy, M.H, and O’Reill, J. (1989). Matrix pencil of closed-loop descriptor systems: Infinite-eigenvalues assignment,(4): 1421-1431.
    Open DOISearch in Google Scholar
  9. Farina, L. and Rinaldi, S. (2000)., J. Willey, New York, NY.
    Search in Google Scholar
  10. Gantmacher, F.R. (1960)., Chelsea Publishing Co., New York, NY.
    Search in Google Scholar
  11. Kaczorek, T. (1992)., Vol. 1, Research Studies Press, J. Wiley, New York, NY.
    Search in Google Scholar
  12. Kaczorek, T. (2002)., Springer-Verlag, London.
    Open DOISearch in Google Scholar
  13. Kaczorek, T. (2004). Infinite eigenvalue assignment by an output/feedback for singular systems,(1): 19-23.
    Search in Google Scholar
  14. Kaczorek, T. (2007a)., Springer-Verlag, London.
    Open DOISearch in Google Scholar
  15. Kaczorek, T. (2007b). Realization problem for singular positive continuous-time systems with delays,(1): 47-57.
    Search in Google Scholar
  16. Kaczorek, T. (2010). Positive linear systems with different fractional orders,(3): 453-458.
    Open DOISearch in Google Scholar
  17. Kaczorek, T. (2011a). Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm,(3): 287-298.
    Open DOISearch in Google Scholar
  18. Kaczorek, T. (2011b)., Springer-Verlag, Berlin.
    Open DOISearch in Google Scholar
  19. Kaczorek T. (2011c). Singular fractional discrete-time linear systems,(3): 1-8.
    Open DOISearch in Google Scholar
  20. Kaczorek T. (2011d). Reduction and decomposition of singular fractional discrete-time linear systems,(4): 1-5.
    Search in Google Scholar
  21. Kucera, V. and Zagalak, P. (1988). Fundamental theorem of state feedback for singular systems,(5): 653-658.
    Open DOISearch in Google Scholar
  22. Van Dooren, P. (1979). The computation of Kronecker’s canonical form of a singular pencil,: 103-140.
    Open DOISearch in Google Scholar
  23. Virnik, E. (2008). Stability analysis of positive descriptor systems,(10): 2640-2659.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/amcs-2013-0003 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Journal RSS Feed
Language: English
Page range: 29 - 33
Published on: Mar 26, 2013
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Drazin inverse,
descriptor,
fractional system,
discrete-time system,
linear system
Related subjects:
Mathematics,
Applied mathematics

© 2013 Tadeusz Kaczorek, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 23 (2013): Issue 1 (March 2013)
Previous article
Next article