- Tytuł:
- On the stability of continuous-time positive switched systems with rank one difference
- Autorzy:
-
Fornasini, E.
Valcher, M. E. - Powiązania:
- https://bibliotekanauki.pl/articles/971053.pdf
- Data publikacji:
- 2013
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
switched system
positive linear system
asymptotic stability
linear copositive Lyapunov function quadratic Lyapunov function - Opis:
- Continuous-time positive systems, switching among p subsystems whose matrices differ by a rank one matrix, are introduced, and a complete characterization of the existence of a common linear copositive Lyapunov function for all the subsystems is provided. Also, for this class of systems it is proved that a well-known necessary condition for asymptotic stability, namely the fact that All convex combinations of the system matrices are Hurwitz, becomes equivalent to the generally weaker condition that the systems matrices are Hurwitz. In the special case of two-dimensional systems, this allows for drawing a complete characterization of asymptotic stability. Finally, the case when there are only two subsystems, possibly with commuting matrices, is investigated.
- Źródło:
-
Control and Cybernetics; 2013, 42, 1; 47-62
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł