Skip to main content
Have a personal or library account? Click to login
Minimum energy control of positive continuous-time linear systems with bounded inputs Cover

Minimum energy control of positive continuous-time linear systems with bounded inputs

Open Access
|Dec 2013

References

  1. Busłowicz M. (2008). Stability of linear continuous time fractional order systems with delays of the retarded type, Bulletin of the Polish Academy of Sciences: Technical Sciences 56(4): 319-324.
  2. Dzieliński A., Sierociuk D. and Sarwas G. (2009). Ultracapacitor parameters identification based on fractional order model, Proceedings of ECC’09, Budapest, Hungary.
  3. Dzieliński A. and Sierociuk D. (2008a). Stability of discrete fractional order state-space systems, Journal of Vibrations and Control 14(9/10): 1543-1556.
  4. Farina L. and Rinaldi S. (2000). Positive Linear Systems: Theory and Applications, J. Wiley, New York, NY.
  5. Kaczorek T. (1992). Linear Control Systems, Research Studies Press/J.Wiley, New York, NY.
  6. Kaczorek T. (2001). Positive 1D and 2D Systems, Springer-Verlag, London.
  7. Kaczorek T. (2008a). Fractional positive continuous-time systems and their reachability, International Journal of Applied Mathematics Computer Science 18(2): 223-228, DOI: 10.2478/v10006-008-0020-0.
  8. Kaczorek T. (2008b) Practical stability of positive fractional discrete-time linear systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 56(4): 313-317.
  9. Kaczorek T. (2008c). Reachability and controllability to zero tests for standard and positive fractional discrete-time systems, Journal Européen des Systèmes Automatisés 42(6-8): 769-787.
  10. Kaczorek T. (2009). Asymptotic stability of positive fractional 2D linear systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 57(3): 289-292.
  11. Kaczorek T. (2011a) Controllability and observability of linear electrical circuits, Electrical Review 87(9a): 248-254.
  12. Kaczorek T. (2011b). Positivity and reachability of fractional electrical circuits, Acta Mechanica et Automatica 5(2): 42-51.
  13. Kaczorek T. (2011c). Positive linear systems consisting of n subsystems with different fractional orders, Transactions of IEEE: Circuits and Systems 58(6): 1203-1210.
  14. Kaczorek T. (2011d) Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm, Archive of Control Sciences 21(3): 287-298.
  15. Kaczorek T. (2012). Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin.
  16. Kaczorek T. (2013a) Minimum energy control of fractional positive continuous-time linear systems, Proceedings of the 18th International Conference on Methods and Models in Automation and Robotics, Mi˛edzyzdroje, Poland, NN 514638940.
  17. Kaczorek T. (2013b). Minimum Energy Control of Descriptor Positive Discrete-time Linear Systems, Compel, (in press).
  18. Kaczorek T. and Klamka J. (1986). Minimum energy control of 2D linear systems with variable coefficients, International Journal of Control 44(3): 645-650.
  19. Klamka J. (1991) Controllability of Dynamical Systems, Kluwer Academic Press, Dordrecht.
  20. Klamka J. (1983). Minimum energy control of 2D systems in Hilbert spaces, System Sciences 9(1-2): 33-42.
  21. Klamka J. (1976). Relative controllability and minimum energy control of linear systems with distributed delays in control, IEEE Transactions on Automatic Control 21(4): 594-595.
  22. Klamka J. (2010). Controllability and minimum energy control problem of fractional discrete-time systems, in D.
  23. Baleanu, Z.B. Guvenc and J.A. Tenreiro Machado (Eds.), New Trends in Nanotechology and Fractional Calculus, Springer-Verlag, New York, NY, pp. 503-509.
  24. Klamka J. (1993). Controllability of dynamical systems-a survey, Archives of Control Sciences 2(3-4): 281-307.
  25. Klamka J. (1977). Minimum energy control of discrete systems with delays in control, International Journal of Control 26(5): 737-744.
DOI: https://doi.org/10.2478/amcs-2013-0054 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 725 - 730
Published on: Dec 31, 2013
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

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