- Tytuł:
- Stochastic controllability of linear systems with state delays
- Autorzy:
- Klamka, J.
- Powiązania:
- https://bibliotekanauki.pl/articles/911240.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
sterowalność
liniowy system sterowania
sterowanie z minimalną energią
controllability
linear control systems
stochastic control systems
delayed state variables
minimum energy control - Opis:
- A class of finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with a single point delay in the state variables is considered. Using a theorem and methods adopted directly from deterministic controllability problems, necessary and sufficient conditions for various kinds of stochastic relative controllability are formulated and proved. It will be demonstrated that under suitable assumptions the relative controllability of an associated deterministic linear dynamic system is equivalent to the stochastic relative exact controllability and the stochastic relative approximate controllability of the original linear stochastic dynamic system. Some remarks and comments on the existing results for the controllability of linear dynamic systems with delays are also presented. Finally, a minimum energy control problem for a stochastic dynamic system is formulated and solved.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 5-13
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł