- Tytuł:
- Stability and positivity with respect to part of the variables for positive Markovian jump systems
- Autorzy:
- Socha, L.
- Powiązania:
- https://bibliotekanauki.pl/articles/200593.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
hybrid system
Lyapunov method
Markov jump systems
stability and positivity with respect to the part of variables - Opis:
- The stability and positivity of linear positive Markovian jump systems with respect to part of the variables is considered. The method-ologies of stability of positive systems with known transition probabilities based on common linear copositive Lyapunov function and stability of linear systems with respect to part of the variables are combined to find sufficient conditions of the stochastic stability and positivity of Markovian jump systems with respect to part of the variables. The results are extended for a class of nonlinear positive Markovian jump systems with respect to part of the variables. An example is given to illustrate the obtained results.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 4; 769-775
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł