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2005 | 15 | 1 | 159-166
Tytuł artykułu

Monomial subdigraphs of reachable and controllable positive discrete-time systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A generic structure of reachable and controllable positive linear systems is given in terms of some characteristic components (monomial subdigraphs) of the digraph of a non-negative a pair. The properties of monomial subdigraphs are examined and used to derive reachability and controllability criteria in a digraph form for the general case when the system matrix may contain zero columns. The graph-theoretic nature of these criteria makes them computationally more efficient than their known equivalents. The criteria identify not only the reachability and controllability properties of positive linear systems, but also their reachable and controllable parts (subsystems) when the system does not possess such properties.
Rocznik
Tom
15
Numer
1
Strony
159-166
Opis fizyczny
Daty
wydano
2005
otrzymano
2004-02-27
poprawiono
2004-07-09
Twórcy
autor
  • Departamento de Matemàtica Aplicada, Universidad Politècnica de València, Camí de Vera s/n, 46071 València, Spain
  • Department of Mathematics and Statistics, Curtin University of Technology, P.O. Box U 1987, Perth, WA 6845, Australia
  • Department of Mathematics and Statistics, Curtin University of Technology, P.O. Box U 1987, Perth, WA 6845, Australia
Bibliografia
  • Bru R., Romero S. and Sánchez E.(2000): Canonical forms for positive discrete-time linear control systems. - Lin. Alg. Appl., Vol. 310, pp. 49-71.
  • Caccetta L. and Rumchev V.G.(1998): Reachable discrete-time positive systems with minimal dimension control sets. - Dyn. Cont. Discr. Imp. Syst.,Vol. 4, No. 4, pp. 539-552.
  • Coxson P.G., Larson I.C. and Schneider H.(1987): Monomial patterns in the sequence A^{k}b - Lin. Alg. Applic., Vol. 94, pp. 89-101.
  • Coxson P.G. and Shapiro H.(1987): Positive input reachability and controllability of positive systems. - Lin. Alg. Applic., Vol. 94, pp. 35-53.
  • Kaczorek T. (2002): Positive 1D and 2D Systems. - Heidelberg: Springer.
  • Lin C.T. (1974): Structural controllability. - IEEE Trans. Automat. Contr., Vol. AC-19, No. 3, pp. 201-208.
  • Muratori S. and Rinaldi S.(1991): Excitability,stability, and sign of equilibria in positive linear systems. - Syst. Contr. Lett., Vol. 16, pp. 59-63.
  • Murthy D.N.P.(1986): Controllability of a linear positive dynamic system. - Int. J. Syst. Sci., Vol. 17, No. 1, pp. 49-54.
  • Rumchev V.G. (2000): On controllability of discrete-time positive systems. - Proc. 6-th Int. Conf. Contr. Automat., Robot. and Vision, Singapore, pp. 1923-1927, (on CD-ROM).
  • Rumchev V.G. and James D.J.G.(1989): Controllability of positive discrete-time systems. - Int. J. Contr., Vol. 50, No. 3, pp. 845-857.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv15i1p159bwm
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