Have a personal or library account? Click to login
Positive stable realizations of fractional continuous-time linear systems Cover

Positive stable realizations of fractional continuous-time linear systems

Open Access
|Dec 2011

References

  1. Benvenuti, L. and Farina, L. (2004). A tutorial on the positive realization problem, IEEE Transactions on Control 49(5): 651-664.10.1109/TAC.2004.826715
  2. Farina, L. and Rinaldi, S. (2000). Positive Linear Systems, Theory and Applications, J. Wiley, NewYork, NY.
  3. Kaczorek, T. (1992). Linear Control Systems, Vol. 1, Research Studies Press, J. Wiley, New York, NY.
  4. Kaczorek, T. (2002). Positive 1D and 2D Systems, Springer-Verlag, London.10.1007/978-1-4471-0221-2
  5. Kaczorek, T. (2004). Realization problem for positive discretetime systems with delay, System Science 30(4): 117-130.
  6. Kaczorek, T. (2005). Positive minimal realizations for singular discrete-time systems with delays in state and delays in control, Bulletin of the Polish Academy of Sciences: Technical Siences 53(3): 293-298.
  7. Kaczorek, T. (2006a). A realization problem for positive continuous-time systems with reduced numbers of delays, International Journal of Applied Mathematics and Computer Science 16 (3): 325-331.
  8. Kaczorek, T. (2006b). Computation of realizations of discretetime cone systems, Bulletin of the Polish Academy of Sciences: Technical Siences 54(3): 347-350.
  9. Kaczorek, T. (2006c). Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs, International Journal of Applied Mathematics and Computer Science 16(2): 169-174.
  10. Kaczorek, T. (2008a). Fractional positive continuous-time linear systems and their reachability, International Journal of Applied Mathematics and Computer Science 18(2): 223-228, DOI: 10.2478/v10006-008-0020-0.10.2478/v10006-008-0020-0
  11. Kaczorek, T. (2008b). Realization problem for fractional continuous-time systems, Archives of Control Sciences 18(1): 43-58.
  12. Kaczorek, T. (2008c). Realization problem for positive 2D hybrid systems, COMPEL 27(3): 613-623.10.1108/03321640810861061
  13. Kaczorek, T. (2009a). Fractional positive linear systems, Kybernetes: The International Journal of Systems & Cybernetics 38 (7/8): 1059-1078.10.1108/03684920910976826
  14. Kaczorek, T. (2009b). Polynomial and Rational Matrices, Springer-Verlag, London.
  15. Kaczorek, T. (2011). Selected Problems in Fractional Systems Theory, Springer-Verlag, Berlin.10.1007/978-3-642-20502-6
  16. Kilbas, A. A., Srivastava, H. M. and Trujillo, J. J. (2006). Theory and Applications of Fractional Differential Equations, North-Holland, Amsterdam.
  17. Podlubny, I. (1999). Fractional Differential Equations, Academic Press, San Diego, CA.
  18. Shaker, U. and Dixon, M. (1977). Generalized minimal realization of transfer-function matrices, International Journal of Control 25(5): 785-803.10.1080/00207177708922269
DOI: https://doi.org/10.2478/v10006-011-0055-5 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 697 - 702
Published on: Dec 21, 2011
Published by: University of Zielona Góra
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 4 (December 2011)