PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Necessary and sufficient conditions for the positivity of descriptor continuous-time and discrete-time linear systems are established. The shuffle algorithm is applied to transform the state equations of the descriptor systems to their equivalent form for which necessary and sufficient conditions for their positivity have been derived. A procedure for checking the positivity of the descriptor systems is proposed and illustrated by numerical examples.
Rocznik
Strony
287--298
Opis fizyczny
Bibliogr. 13 poz., wzory
Twórcy
autor
  • Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland, kaczorek@isep.pw.edu.pl
Bibliografia
  • [1] R. Bru, C. Coll, S. Romero-Vivo and E. Sanchez: Some problems about structural properties of positive descriptor systems. Positive systems (Rome, 2003), Lecture Notes in Control and Inform. Sci. 294 Springer, Berlin, 2003, 233-240.
  • [2] R. Bru, C. Coll and E. Sanchez: About positively discrete-time singular systems, System and Control: theory and applications. Electr. Comput. Eng. Ser., World Sci. Eng. Soc. Press, Athens, (2000), 44-48.
  • [3] R. Bru, C. Coll and E. Sanchez: Structural properties of positive linear time-invariant difference-algebraic equations. Linear Algebra Appl., 349 (2002), 1-10.
  • [4] S. L. Campbell: Singular Systems of Differential Equations. Research Notes in Mathematics, 40 Pitman (Advanced Publishing Program), Boston, Mass., (1980).
  • [5] S. L. Campbell, C. D. Meyer and N.J. Rose: Applications of the Drazin inverse to linear systems of differential equations with singular constructions. SIAMJ Appl. Math., 31(3), (1976), 411-425.
  • [6] C. Commalut and N. Marchand, (EDS.): Positive Systems. Lecture Notes in Control and Inform. Sci., 341 Springer-Verlag, Berlin, 2006.
  • [7] L. Dai: Singular Control Systems. Lecture Notes in Control and Inform. Sci., 118 Springer-Verlag, Berlin, 1989.
  • [8] M. P. Drazin: Pseudo-inverses in associative rings and semigroups. Amer. Math. Monthly, 65 1958, 506-514.
  • [9] L. Farina and S. Rinaldi: Positive Linear Systems. J. Willey, New York, 2000.
  • [10] T. Kaczorek: Positive 1D and 2D Systems. Springer-Verlag, London 2002.
  • [11] T. Kaczorek: Linear Control Systems. 1 Research Studies Press and J. Wiley, New York 1992.
  • [12] T. Kaczorek: Selected Problems of Fractional System. Theory. Springer-Verlag, Berlin 2011.
  • [13] E. Virnik: Stability analysis of positive descriptor systems. Linear Algebra and its Applications, 429 (2008), 2640-2659.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0097-0004
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.