- Tytuł:
- Reachability and controllability of time-variant discrete-time positive linear systems
- Autorzy:
-
Rumchev, V. G.
Adeane, J. - Powiązania:
- https://bibliotekanauki.pl/articles/970413.pdf
- Data publikacji:
- 2004
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
dodatni układ liniowy
układ z czasem dyskretnym
osiągalność i sterowalność
macierz nieujemna
positive linear systems
discrete-time systems
time-variant systems
reachability and controllability
non-negative matrices - Opis:
- 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.
- Źródło:
-
Control and Cybernetics; 2004, 33, 1; 85-94
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł