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Minimum Energy Control of 2D Positive Continuous-Discrete Linear Systems Cover

Minimum Energy Control of 2D Positive Continuous-Discrete Linear Systems

Open Access
|Dec 2014

References

  1. 1. Bistritz Y. (2003), A stability test for continuous-discrete bivariate polynomials, Proc. Int. Symp. on Circuits and Systems, Vol. 3, 682-685.
  2. 2. Busłowicz M. (2010), Robust stability of the new general 2D model of a class of continuous-discrete linear systems, Bull. Pol. Acad. Sci. Techn., Vol. 57, No. 4, 561-565.
  3. 3. Busłowicz M. (2010), Stability and robust stability conditions for a general model of scalar continuous-discrete linear systems, Measurement Automation and Monitoring, Vol. 56, No. 2, 133-135.
  4. 4. Dymkov M., Gaishun I., Rogers E., Gałkowski K. and Owens D.H. (2004), Control theory for a class of 2D continuous-discrete linear systems, Int. J. Control, Vol. 77, No. 9, 847-860.
  5. 5. Farina L. and Rinaldi S. (2000), Positive Linear Systems; Theory and Applications, J. Wiley, New York.10.1002/9781118033029
  6. 6. Gałkowski K., Rogers E., Paszke W. and Owens D.H. (2003), Linear repetitive process control theory applied to a physical example, Int. J. Appl. Math. Comput. Sci., Vol. 13, No. 1, 87-99.
  7. 7. Kaczorek T. (1998), Reachability and minimum energy control of positive 2D continuous-discrete systems, Bull. Pol. Acad. Sci. Tech., Vol. 46, No. 1, 85-93.
  8. 8. Kaczorek T. (2001), Positive 1D and 2D systems, Springer Verlag, London.10.1007/978-1-4471-0221-2
  9. 9. Kaczorek T. (2007), Positive 2D hybrid linear systems, Bull. Pol. Acad. Sci. Tech., Vol. 55, No. 4, 351-358.
  10. 10. Kaczorek T. (2008a), Positive fractional 2D hybrid linear systems, Bull. Pol. Acad. Tech., Vol. 56, No. 3, 273-277.
  11. 11. Kaczorek T. (2008b), Realization problem for positive 2D hybrid systems, COMPEL, Vol. 27, No. 3, 613-623.10.1108/03321640810861061
  12. 12. Kaczorek T. (2011a), New stability tests of positive standard and fractional linear systems, Circuit and Systems, Vol. 2, No. 4, 261-268.10.4236/cs.2011.24036
  13. 13. Kaczorek T. (2011b), Stability of continuous-discrete linear systems described by general model, Bull. Pol. Acad. Sci. Tech., Vol. 59, No. 2, 189-193.10.2478/v10175-011-0023-0
  14. 14. Kaczorek T. (2012), Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin.10.1007/978-3-642-20502-6
  15. 15. Kaczorek T. (2013), Minimum energy control of fractional positive continuous-time linear systems, Proc. of Conf. MMAR, Międzyzdroje, Poland.10.1109/MMAR.2013.6669982
  16. 16. Kaczorek T. (2013), Minimum energy control of positive fractional descriptor continous time linear systems, IET Control Theory and Applications, Vol. 8 No. 4, 219-225.
  17. 17. Kaczorek T. (2014), Minimum energy control of descriptor positive discrete-time linear systems, Compel, Vol. 33, No.3, 1-14.
  18. 18. Kaczorek T., Klamka J. (1986), Minimum energy control of 2D linear systems with variable coefficients, Int. J. of Control, Vol. 44, No. 3, 645-650.
  19. 19. Kaczorek T., Marchenko V. and Sajewski Ł. (2008), Solvability of 2D hybrid linear systems - comparison of three different methods, Acta Mechanica et Automatica, Vol. 2, No. 2, 59-66.
  20. 20. Klamka J. (1976), Relative controllability and minimum energy control of linear systems with distributed delays in control, IEEE Trans. Autom. Contr., Vol. 21, No. 4, 594-595.
  21. 21. Klamka J. (1983), Minimum energy control of 2D systems in Hilbert spaces, System Sciences, Vol. 9, No. 1-2, 33-42.
  22. 22. Klamka J. (1991), Controllability of Dynamical Systems, Kluwer Academic Press, Dordrecht.
  23. 23. Klamka J. (2010), Controllability and minimum energy control problem of fractional discrete-time systems, Chapter in New Trends in Nanotechnology and Fractional Calculus, Eds. Baleanu D., Guvenc Z.B., Tenreiro Machado J.A., Springer-Verlag, New York, 503-509.
  24. 24. Narendra K.S. and Shorten R. (2010), Hurwitz stability of Metzler matrices, IEEE Trans. Autom. Contr., Vol. 55, No. 6, 1484-1487.
  25. 25. Sajewski Ł. (2009), Solution of 2D singular hybrid linear systems, Kybernetes, Vol. 38, No. 7/8, 1079-1092.
  26. 26. Xiao Y. (2001), Stability test for 2-D continuous-discrete systems, Proc. 40th IEEE Conf. on Decision and Control, Vol. 4, 3649-3654.10.1109/CDC.2001.980427
  27. 27. Xiao Y. (2003), Stability, controllability and observability of 2-D continuous-discrete systems, Proc. Int. Symp. on Circuits and Systems, Vol. 4, 468-471.
DOI: https://doi.org/10.2478/ama-2014-0030 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Language: English
Page range: 165 - 168
Published on: Dec 20, 2014
Published by: Bialystok University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2014 Tadeusz Kaczorek, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.