- Tytuł:
- Stability analysis of positive linear systems by decomposition of the state matrices into symmetrical and antisymmetrical parts
- Autorzy:
- Kaczorek, T.
- Powiązania:
- https://bibliotekanauki.pl/articles/201771.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
linear
positive
system
decomposition
state matrix
stability - Opis:
- The stability of positive linear continuous-time and discrete-time systems is analyzed by the use of the decomposition of the state matrices into symmetrical and antisymmetrical parts. It is shown that: 1) The state Metzler matrix of positive continuous-time linear system is Hurwitz if and only if its symmetrical part is Hurwitz; 2) The state matrix of positive linear discrete-time system is Schur if and only if its symmetrical part is Hurwitz. These results are extended to inverse matrices of the state matrices of the positive linear systems.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 4; 761-768
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki