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Positive continuous – time linear electrical circuit

Autorzy
Treść / Zawartość
Warianty tytułu
Konferencja
Computer Applications in Electrical Engineering (23-24.04.2018 ; Poznań, Polska)
Języki publikacji
EN
Abstrakty
EN
The positive linear continuous-time systems by the use of the Caputo and conformable fractional calculus are analyzed. The conditions for internally positive systems are presented. For the established electrical circuit, a solution fractional order state-space equation was developed for system with Caputo and conformable fractional derivative (CFD) definition.
Słowa kluczowe
Rocznik
Tom
Strony
299--309
Opis fizyczny
Bibliogr. 18 poz., rys.
Twórcy
  • Bialystok University of Technology
Bibliografia
  • [1] Abdeljawad T., On conformable fractional calculus. J. Comput. Appl. Math., vol. 279, 2015, 57-66.
  • [2] Benvenuti L., Farina L., A tutorial on the positive realization problem. IEEE Trans. on Automatic Control, vol. 49, no. 5, 2004, 651-664.
  • [3] Farina L., Rinaldi S., Positive Linear Systems; Theory and Applications. J. Wiley, New York, 2000.
  • [4] Gantmacher F.R., The Theory of Matrices. Chelsea Pub. Comp., London, 1959.
  • [5] Khalil R., Al Horani M., Yousef A., Sababheh M.: A new definition of fractional derivative. J. Comput. Appl. Math., vol. 264, 2014, 65-70.
  • [6] Kaczorek T., A class of positive and stable time-varying electrical circuits. Electrical Review, vol. 91, no. 5, 2015, 121-124.
  • [7] Kaczorek T., Constructability and observability of standard and positive electrical circuits. Electrical Review, vol. 89, no. 7, 2013, 132-136.
  • [8] Kaczorek T., Decoupling zeros of positive continuous-time linear systems and electrical circuits. Advances in Systems Science. Advances in Intelligent Systems and Computing, vol. 240, 2014, Springer, 1-15.
  • [9] Kaczorek T., Minimal-phase positive electrical circuits. Electrical Review, vol. 92, no. 3, 2016, 182-189.
  • [10] Kaczorek T., Normal positive electrical circuits. IET Circuits Theory and Applications, vol. 9, no. 5, 2015, 691-699.
  • [11] Kaczorek T., Positive 1D and 2D Systems. Springer-Verlag, London, 2002.
  • [12] Kaczorek T., Positive electrical circuits and their reachability. Archives of Electrical Engineering, vol. 60, no. 3, 2011, 283-301.
  • [13] Kaczorek T., Positive electrical circuits with zero transfer matrices and their discretization. Computer Applications in Electrical Engineering, 2016.
  • [14] Kaczorek T., Positive fractional linear electrical circuits. Proceedings of SPIE, vol. 8903, Bellingham WA, USA, Art. No 3903-35.
  • [15] Kaczorek T., Positive linear systems with different fractional orders. Bull. Pol. Acad. Sci. Techn., vol. 58, no. 3, 2010, 453-458.
  • [16] Kaczorek T., Positive systems consisting of n subsystems with different fractional orders. IEEE Trans. Circuits and Systems – regular paper, vol. 58, no. 6, June 2011, 1203-1210.
  • [17] Kaczorek T., Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin, 2011.
  • [18] Kaczorek T., Rogowski K., Fractional Linear Systems and Electrical Circuits. Studies in Systems, Decision and Control, vol. 13, Springer, 2015.
Uwagi
This work was supported by Ministry of Science and Higher Education in Poland under work No. MB/WE/3/2017.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-f1c6b485-134e-4168-8ec4-1a36b9986327
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