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Singular fractional linear systems and electrical circuits Cover
Open Access
|Jun 2011

References

  1. Dodig, M. and Stosic, M. (2009). Singular systems state feedbacks problems, Linear Algebra and Its Applications431(8): 1267-1292.10.1016/j.laa.2009.04.024
  2. Dai, L. (1989). Singular Control Systems, Springer-Verlag, Berlin.10.1007/BFb0002475
  3. Fahmy, M.H and O'Reill J. (1989). Matrix pencil of closed-loop descriptor systems: Infinite-eigenvalues assignment, International Journal of Control, 49(4): 1421-1431.10.1080/00207178908559713
  4. Gantmacher, F.R. (1960). The Theory of Matrices, Chelsea Publishing Co., New York, NY.
  5. Kaczorek, T. (1992). Linear Control Systems, Vol. 1, Research Studies Press, John Wiley, New York, NY.
  6. Kaczorek, T. (2004). Infinite eigenvalue assignment by outputfeedbacks for singular systems, International Journal of Applied Mathematics and Computer Science14(1): 19-23.
  7. Kaczorek, T. (2007a). Polynomial and Rational Matrices. Applications in Dynamical Systems Theory, Springer-Verlag, London.10.1007/978-1-84628-605-6
  8. Kaczorek, T. (2007b). Realization problem for singular positive continuous-time systems with delays, Control and Cybernetics36(1): 47-57.
  9. Kaczorek, T. (2008). Fractional positive continuous-time linear systems and their reachability, International Journal of Applied Mathematics and Computer Science18(2): 223-228, DOI:10.2478/v10006-008-0020-0.10.2478/v10006-008-0020-0
  10. Kaczorek, T. (2009). Selected Problems in the Theory of Fractional Systems, Białystok Technical University, Białystok, (in Polish).
  11. Kaczorek, T. (2010). Positive linear systems with different fractional orders, Bulletin of the Polish Academy of Sciences: Technical Sciences58(3): 453-458.10.2478/v10175-010-0043-1
  12. Kaczorek, T. (2011). Positivity and reachability of fractional electrical circuits, Acta Mechanica et Automatica3(1), (in press).
  13. Kucera, V. and Zagalak, P. (1988). Fundamental theorem of state feedback for singular systems, Automatica24(5): 653-658.10.1016/0005-1098(88)90112-4
  14. Podlubny I. (1999). Fractional Differential Equations, Academic Press, New York, NY.
  15. Van Dooren, P. (1979). The computation of Kronecker's canonical form of a singular pencil, Linear Algebra and Its Applications27(1): 103-140.10.1016/0024-3795(79)90035-1
DOI: https://doi.org/10.2478/v10006-011-0028-8 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 379 - 384
Published on: Jun 22, 2011
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2011 Tadeusz Kaczorek, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 21 (2011): Issue 2 (June 2011)