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Transfer matrices with positive coefficients of descriptor linear systems

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EN
Abstrakty
EN
Transfer matrices with positive coefficients of descriptor positive linear continuous-time systems are addressed. Two methods of checking of the positivity of descriptor linear systems are proposed. It is shown that if the positive descriptor system is asymptotically stable then all coefficients of its transfer matrix are positive.
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Twórcy
  • Bialystok University of Technology, Faculty of Electrical Engineering, Bialystok, Poland
  • Bialystok University of Technology, Faculty of Electrical Engineering, Bialystok, Poland
Bibliografia
  • [1] A. Berman and R.J. Plemmons, “Nonnegative Matrices in the Mathematical Sciences,” SIAM, 1994.
  • [2] K. Borawski, “Modification of the stability and positivity of standard and descriptor linear
  • electrical circuits by state feedbacks,” Electrical Review, vol. 93, no. 11, 2017, pp. 176–180.
  • [3] M. Busłowicz and T. Kaczorek “Simple conditions for practical stability of positive fractional
  • discrete-time linear systems,” Int. J. Appl. Math. Comput. Sci., vol. 19, no. 2, 2009, pp. 263–269.
  • [4] L. Farina and S. Rinaldi “Positive Linear Systems; Theory and Applications,” New York: J. Wiley, 2000.
  • [5] T. Kaczorek “Analysis of positivity and stability of discrete-time and continuous-time nonlinear systems,” Computational Problems of Electrical Engineering, vol. 5, no. 1, 2015, pp. 11–16.
  • [6] T. Kaczorek “Analysis of positivity and stability of fractional discretetime nonlinear systems,”Bull. Pol. Acad. Sci. Techn., vol. 64, no. 3, 2016, pp. 491–494.
  • [7] T. Kaczorek “Positive 1D and 2D Systems,” London: Springer-Verlag, 2002.
  • [8] T. Kaczorek “Positive linear systems with different fractional orders,” Bull. Pol. Acad. Sci. Techn., vol. 58, no. 3, 2010, pp. 453–458.
  • [9] T. Kaczorek “Positive linear systems consisting of n subsystems with different fractional orders,” IEEE Trans. on Circuits and Systems, vol. 58, no. 7, 2011, pp. 1203–1210.
  • [10] T. Kaczorek “Positive fractional continuous-time linear systems with singular pencils,” Bull. Pol. Acad. Sci. Techn., vol. 60, no. 1, 2012, pp. 9–12.
  • [11] T. Kaczorek “Descriptor positive nonlinear systems,” Advances in Intelligent Systems and Computing, vol. 550, 2017, Springer, pp. 34–44.
  • [12] T. Kaczorek “Theory of Control, vol. 2,” Warsaw: PWN, 1981 (in Polish).
  • [13] T. Kaczorek and Ł. Sajewski, „The Realization problem for positive and Fractional Systems”, Springer, London 2014
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c44cb548-be58-407f-847e-9a4d3f1788b8
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