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Minimum Energy Control Of Positive Time-Varying Linear Systems Cover

Minimum Energy Control Of Positive Time-Varying Linear Systems

Open Access
|Dec 2015

References

  1. 1. Busłowicz M. (2008), Stability of linear continuous time fractional order systems with delays of the retarded type, Bull. Pol. Acad. Sci. Tech., Vol. 56(4), 319-324.
  2. 2. Dzieliński A., Sierociuk D. (2008), Stability of discrete fractional order state-space systems, Journal of Vibrations and Control, Vol. 14(9/10), 1543-1556.
  3. 3. Dzieliński A., Sierociuk D., Sarwas G. (2009), Ultracapacitor parameters identification based on fractional order model, Proc ECC’09, Budapest.10.23919/ECC.2009.7074403
  4. 4. Farina L., Rinaldi S. (2000), Positive Linear Systems; Theory and Applications, J. Wiley, New York.10.1002/9781118033029
  5. 5. Gantmacher F.R. (1959), The Theory of Matrices, Chelsea, New York.
  6. 6. Kaczorek T. (1992), Linear Control Systems, Research Studies Press and J.Wiley, New York.
  7. 7. Kaczorek T. (2001a), Externally and internally positive time-varying linear systems, Int. J. Appl. Math. Comput. Sci., Vol. 11(4), 957-964.
  8. 8. Kaczorek T. (2001b), Positive 1D and 2D systems, Springer Verlag, London.10.1007/978-1-4471-0221-2
  9. 9. Kaczorek T. (2008a), Fractional positive continuous-time systems and their Reachability, Int. J. Appl. Math. Comput. Sci., Vol. 18(2), 223-228.10.2478/v10006-008-0020-0
  10. 10. Kaczorek T. (2008b), Practical stability of positive fractional discrete-time linear systems, Bull. Pol. Acad. Sci. Tech., Vol. 56(4), 313-317.
  11. 11. Kaczorek T. (2008c), Reachability and controllability to zero tests for standard and positive fractional discrete-time systems, Journal Européen des Systèmes Automatisés, JESA, Vol. 42(6-8), 769-787.10.3166/jesa.42.769-787
  12. 12. Kaczorek T. (2009), Asymptotic stability of positive fractional 2D linear systems, Bull. Pol. Acad. Sci. Tech., Vol. 57(3), 289-292.
  13. 13. Kaczorek T. (2011a), Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm, Archive of Control Sciences, Vol. 21(3), 287-298.10.2478/v10170-010-0044-1
  14. 14. Kaczorek T. (2011b), Controllability and observability of linear electrical circuits, Electrical Review, Vol. 87(9a), 248-254.
  15. 15. Kaczorek T. (2011c), Positive linear systems consisting of n subsystems with different fractional orders, IEEE Trans. Circuits and Systems, Vol. 58(6), 1203-1210.10.1109/TCSI.2010.2096111
  16. 16. Kaczorek T. (2011d), Positivity and reachability of fractional electrical circuits, Acta Mechanica et Automatica, Vol. 5(2), 42-51.
  17. 17. Kaczorek T. (2012), Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin.10.1007/978-3-642-20502-6
  18. 18. Kaczorek T. (2014a), Minimum energy control of descriptor positive discrete-time linear systems, COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 33(3), 976-988.10.1108/COMPEL-04-2013-0111
  19. 19. Kaczorek T. (2014b), Minimum energy control of fractional positive continuous-time linear systems, International Journal of Applied Mathematics and Computer Science, Vol. 24(2), 335-340.10.2478/amcs-2014-0025
  20. 20. Kaczorek T., Klamka J. (1986), Minimum energy control of 2D linear systems with variable coefficients, Int. J. of Control, Vol. 44(3), 645-650.10.1080/00207178608933623
  21. 21. Klamka J. (1976), Relative controllability and minimum energy control of linear systems with distributed delays in control, IEEE Trans. Autom. Contr., Vol. 21(4), 594-595.10.1109/TAC.1976.1101280
  22. 22. Klamka J. (1977), Minimum energy control of discrete systems with delays in control, International Journal of Control, Vol. 26(5), 737-744.
  23. 23. Klamka J. (1983), Minimum energy control of 2D systems in Hilbert spaces, System Sciences, Vol. 9(1-2), 33-42.
  24. 24. Klamka J. (1991), Controllability of Dynamical Systems, Kluwer Academic Press, Dordrecht.
  25. 25. Klamka J. (1993), Controllability of dynamical systems-a survey, Archives of Control Sciences, Vol. 2(3-4), 281-307.
  26. 26. Klamka J. (2010), Controllability and minimum energy control problem of fractional discrete-time systems, Chapter in “New Trends in Nanotechology and Fractional Calculus”, Eds. Baleanu D., Guvenc Z.B., Tenreiro Machado J.A., Springer-Verlag, New York, 503-509.
DOI: https://doi.org/10.1515/ama-2015-0036 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Language: English
Page range: 225 - 228
Submitted on: May 22, 2015
Accepted on: Dec 14, 2015
Published on: Dec 30, 2015
Published by: Bialystok University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2015 Tadeusz Kaczorek, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.