- Tytuł:
- On the existence of a common solution to the Lyapunov equations
- Autorzy:
-
Białas, S.
Góra, M. - Powiązania:
- https://bibliotekanauki.pl/articles/201354.pdf
- Data publikacji:
- 2015
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
common quadratic Lyapunov functions
switched system
robust stability
funkcje kwadratowe Lapunowa
system przełączników
wysoka stabilność - Opis:
- In this paper, a system of Lyapunov equations A*i P + PAi = −Qi (i = 1, . . . ,m), (A) is considered in which Ai are given n × n complex matrices, Qi are unknown n × n Hermitian positive definite matrices and P, if any, is a common solution to the Lyapunov equations (A). Both sufficient and necessary and sufficient conditions are derived for the existence of such a matrix P. Examples are presented to illustrate the results.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2015, 63, 1; 163--168
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł