Reachability and controllability of time-variant discrete-time positive linear systems

• Autorzy: Rumchev V. G. , Adeane J.
• Języki publikacji: EN

Abstrakty

EN

In this paper necessary and sufficient conditions (and criteria) for null-controllability, reachability and controllability of time-variant discrete-time positive linear systems are established. These properties appear to be entirely structural properties, that is, they do depend on the zero-nonzero pattern of the pair (A(k), B[k)) > 0 and do not depend on the values of its entries. An interesting phenomenon has been revealed namely the time needed to reach the origin for a null-controllable system as well as the time to reach a (non-negative) state from the origin for a reachable system can be less, equal or greater than the dimension of the system. This phenomenon has no equivalent in the case of time-invariant discrete-time positive linear systems where this time is always less or equal to the system dimension. Examples are provided.

Słowa kluczowe

EN

positive linear systems; discrete-time systems; time-variant systems; reachability and controllability; non-negative matrices

PL

dodatni układ liniowy; układ z czasem dyskretnym; osiągalność i sterowalność; macierz nieujemna

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2004
• Tom: Vol. 33, no 1
• Strony: 85--94
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Rumchev V. G.

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

autor

Adeane J.

• Department of Electrical and Computer Engineering

Bibliografia

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