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2015 | Vol. 63, nr 4 | 837--842
Tytuł artykułu

Positive time-varying continuous-time linear systems and electrical circuits

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The positivity of time-varying continuous-time linear systems and electrical circuits are addressed. Necessary and sufficient conditions for the positivity of the systems and electrical circuits are established. It is shown that there exists a large class of positive electrical circuits with time-varying parameters. Examples of positive electrical circuits are presented.
Wydawca

Rocznik
Strony
837--842
Opis fizyczny
Bibliogr. 25 poz., rys.
Twórcy
autor
  • Faculty of Electrical Engineering, Bialystok University of Technology, 45D Wiejska St., 15-351 Bialystok, Poland, kaczorek@isep.pw.edu.pl
Bibliografia
  • [1] L. Farina and S. Rinaldi, Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
  • [2] T. Kaczorek, Positive 1D and 2D Systems, Springer Verlag, London, 2002.
  • [3] A. Czornik and M. Niezabitowski, “On the stability of Lyapunov exponents of discrete linear system”, Proc. Eur. Control Conf. 1, 2210-2213 (2013).
  • [4] A. Czornik, A. Newrat, M. Niezabitowski, and A. Szyda, “On the Lyapunov and Bohl exponent of time-varying discrete linear systems”, 20th Mediterranean Conf. on Control and Automation (MED) 1, 194-197 (2012).
  • [5] A. Czornik and M. Niezabitowski, “Lyapunov exponents for systems with unbounded coefficients”, Dynamical Systems: Int. J. 28 (2), 140-153 (2013).
  • [6] A. Czornik, A. Newrat, and M. Niezabitowski, “On the Lyapunov exponents of a class of the second order discrete time linear systems with bounded perturbations”, Dynamical Systems: Int. J. 28 (4), 473-483 (2013).
  • [7] A. Czornik and M. Niezabitowski, “On the stability of discrete time-varying linear systems”, Nonlinear Analysis: Hybrid Systems 9, 27-41 (2013).
  • [8] A. Czornik, J. Klamka, and M. Niezabitowski, “On the set of Perron exponents of discrete linear systems”, Proc. World Congress 19th Int. Federation Automatic Control 1, 11740-11742 (2014).
  • [9] T. Kaczorek, “Positivity and stability of fractional descriptor time-varying discrete-time linear systems”, AMCS, (2015), (to be published).
  • [10] T. Kaczorek, “Positive descriptor time-varying discrete-time linear systems and their asymptotic stability”, Trans Nav. Int. J. Marine Navigation and Safety Sea Transportation 9 (1), 83-89 (2015).
  • [11] T. Kaczorek, “Positivity and stability of time-varying discretetime linear systems”, in Intelligent Information and Database Systems. Lecture Notes in Computer Science, pp. 295-303, Springer, Lausanne, 2015.
  • [12] T. Kaczorek, “Fractional standard and positive descriptor timevarying discrete-time linear systems”, Conf. Automation 1, CDROM (2015).
  • [13] T. Kaczorek, “Stability and stabilization of positive fractional linear systems by state-feedbacks”, Bull. Pol. Ac:. Tech. 58 (4), 517-554 (2010).
  • [14] T. Kaczorek, “Stability of positive continuous-time linear systems with delays”, Bull. Pol. Ac:. Tech. 57 (4), 395-398 (2009).
  • [15] T. Kaczorek, ‘Positive and stable time-varying continuous-time linear systems and electrical circuits”, Academic J. Poznan Univ. Technology 81, 11-19 (2015).
  • [16] T. Kaczorek, “Fractional positive continuous-time linear systems and their reachability”, Int. J. Appl. Math. Comput. Sci. 18 (2), 223-228 (2008).
  • [17] T. Kaczorek, “Positivity and reachability of fractional electrical circuits”, Acta Mechanica et Automatica 5 (2), 42-51 (2011).
  • [18] T. Kaczorek, Selected Problems of Fractional System Theory, Springer, Berlin, 2011.
  • [19] T. Kaczorek, “New stability tests of positive standard and fractional linear systems”, Circuits and Systems 2, 261-268 (2011).
  • [20] T. Kaczorek, “Positive linear systems consisting of n subsystems with different fractional orders”, IEEE Trans. Circuits and Systems 58 (6), 1203-1210.
  • [21] T. Kaczorek, “Positive electrical circuits and their reachability”, Archives of Electrical Engineering 60 (2), 283-301 (2011).
  • [22] T. Kaczorek, “Controllability and observability of linear electrical circuits”, Electrical Review 87, 248-254 (2011).
  • [23] T. Kaczorek, “Normal positive electrical circuits”, IET Control Theory and Applications, doi: 10.1049/iet-cta.2014.0183 (2014).
  • [24] T. Kaczorek, Vectors and Matrices in Automation and Electrotechnics, WNT, Warszawa, 1998.
  • [25] F.R. Gantmacher, The Theory of Matrices, Chelsea Pub. Comp., London, 1959.
Typ dokumentu
Bibliografia
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