Monomial Subdigraphs of Reachable and Controllable Positive Discrete-time Systems

• Autorzy: Bru R. , Cacetta L. , Rumchev V. G.
• 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 A 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.

Słowa kluczowe

EN

positive linear systems; reachability; controllability; system structure; monomial subdigraphs

PL

dodatni układ liniowy; osiągalność; sterowalność; struktura systemu

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2005
• Tom: Vol. 15, no 1
• Strony: 159--166
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Bru R.

• Departamento de Matemàtica Aplicada, Universidad Politècnica de València, Camí de Vera s/n, 46071 València, Spain

autor

Cacetta L.

• Department of Mathematics and Statistics, Curtin University of Technology, P.O. Box U 1987, Perth, WA 6845, Australia

autor

Rumchev V. G.

• Department of Mathematics and Statistics, Curtin University of Technology, P.O. Box U 1987, Perth, WA 6845, Australia

Bibliografia

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• [9] 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).
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