- Tytuł:
- Optimal control problem for infinite variables hyperbolic systems with time lags
- Autorzy:
-
Bahaa, G. M.
Tharwat, M. M. - Powiązania:
- https://bibliotekanauki.pl/articles/229952.pdf
- Data publikacji:
- 2011
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
optimal control
hyperbolic system
time delay
distributed control problems
Neumann conditions
existence and uniqueness of solutions
second order operator with an infinite number of variables - Opis:
- In this paper, by using the theorems of [Lions (1971) and Lions & Magenes (1972)], the optimal control problem for distributed hyperbolic systems, involving second order operator with an infinite number of variables, in which constant lags appear both in the state equations and in the boundary conditions is considered. The optimality conditions for Neumann boundary conditions are obtained and the set of inequalities that characterize these conditions is formulated. Also, several mathematical examples for derived optimality conditions are presented. Finally, we consider an optimal distributed control problem for (n x n)-infinite variables hyperbolic systems.
- Źródło:
-
Archives of Control Sciences; 2011, 21, 4; 373-393
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł