- Tytuł:
- Optimization problems for structural acoustic models with thermoelasticity and smart materials
- Autorzy:
- Lasiecka, Irena
- Powiązania:
- https://bibliotekanauki.pl/articles/729240.pdf
- Data publikacji:
- 2000
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
structural acoustic model with thermal effects
optimal control problem
smart controls
nonstandard Riccati equations
analyticity of semigroups - Opis:
- Optimization problem for a structural acoustic model with controls governed by unbounded operators on the state space is considered. This type of controls arises naturally in the context of "smart material technology". The main result of the paper provides an optimal synthesis and solvability of associated nonstandard Riccati equations. It is shown that in spite of the unboundedness of control operators, the resulting gain operators (feedbacks) are bounded on the state space. This allows to provide full solvability of the associated Riccati equations. The proof of the main result is based on exploiting propagation of analyticity from the structural component of the model into an acoustic medium.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2000, 20, 1; 113-140
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł