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Optimization problems for structural acoustic models with thermoelasticity and smart materials

100%

Lasiecka I.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2000

tom 20

nr 1

113-140

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.

Ograniczanie wyników

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Lasiecka I.

1 2000

Wyniki wyszukiwania

Optimization problems for structural acoustic models with thermoelasticity and smart materials