Monomial subdigraphs of reachable and controllable positive discrete-time systems

• Autorzy: Rafael Bru , Louis Caccetta , Ventsi G. Rumchev
• 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.

Słowa kluczowe

EN

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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2005
• Tom: 15
• Numer: 1
• Strony: 159-166

Daty

wydano

2005

otrzymano

2004-02-27

poprawiono

2004-07-09

Twórcy

autor

Rafael Bru

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

autor

Louis Caccetta

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

autor

Ventsi G. Rumchev

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

Bibliografia

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