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Existence and determination of the set of Metzler matrices for given stable polynomials Cover

Existence and determination of the set of Metzler matrices for given stable polynomials

Open Access
|Jun 2012

References

  1. Farina, L. and Rinaldi, S. (2000). Positive Linear Systems, Theory and Applications, J. Wiley, New York, NY.
  2. Kaczorek, T. (2002). Positive 1D and 2D Systems, Springer-Verlag, London, 2002.10.1007/978-1-4471-0221-2
  3. Benvenuti, L. and Farina, L. (2004). A tutorial on the positive realization problem, IEEE Transactions on Automatic Control 49(5): 651-664.10.1109/TAC.2004.826715
  4. Kaczorek, T. (1992). Linear Control Systems, Vol.1, Research Studies Press, J. Wiley, New York, NY.
  5. Kaczorek, T. (2004). Realization problem for positive discrete-time 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 Sciences 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 discrete-time cone systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 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). Realization problem for fractional continuous-time systems, Archives of Control Sciences 18(1): 43-58.
  11. Kaczorek, T. (2008b). Realization problem for positive 2D hybrid systems, COMPEL 27 (3): 613-623.10.1108/03321640810861061
  12. Kaczorek, T. (2008c). 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
  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, 2009.
  15. Kaczorek, T. (2011a). Computation of positive stable realizations for linear continuous-time systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 59 (3): 273-281/Proceedings of the 20th European Conference on Circuit Theory and Design, Linköping, Sweden.10.2478/v10175-011-0033-y
  16. Kaczorek, T. (2011b). Positive stable realizations of fractional continuous-time linear systems, International Journal of Applied Mathematics and Computer Science 21(4): 697-702, DOI: 10.2478/v10006-011-0055-5.10.2478/v10006-011-0055-5
  17. Kaczorek, T. (2011c). Positive stable realizations with system Metzler matrices, Archives of Control Sciences 21(2): 167-188/Proceedings of the MMAR'2011 Conference, Międzyzdroje, Poland, (on CD-ROM).10.2478/v10170-010-0038-z
  18. Kaczorek, T. (2011d). Selected Problems in Fractional Systems Theory, Springer-Verlag, London.10.1007/978-3-642-20502-6
  19. Kaczorek, T. (2012). Determination of the set of Metzler matrices for given stable polynomials, PAK—Measurement, Automation and Monitoring (5), (in press).10.2478/v10006-012-0029-2
  20. 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/v10006-012-0029-2 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 389 - 399
Published on: Jun 28, 2012
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2012 Tadeusz Kaczorek, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 22 (2012): Issue 2 (June 2012)