# Optimization problems for structural acoustic models with thermoelasticity and smart materials

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2000)

- Volume: 20, Issue: 1, page 113-140
- ISSN: 1509-9407

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topIrena Lasiecka. "Optimization problems for structural acoustic models with thermoelasticity and smart materials." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 20.1 (2000): 113-140. <http://eudml.org/doc/271470>.

@article{IrenaLasiecka2000,

abstract = {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.},

author = {Irena Lasiecka},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {structural acoustic model with thermal effects; optimal control problem; smart controls; nonstandard Riccati equations; analyticity of semigroups},

language = {eng},

number = {1},

pages = {113-140},

title = {Optimization problems for structural acoustic models with thermoelasticity and smart materials},

url = {http://eudml.org/doc/271470},

volume = {20},

year = {2000},

}

TY - JOUR

AU - Irena Lasiecka

TI - Optimization problems for structural acoustic models with thermoelasticity and smart materials

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2000

VL - 20

IS - 1

SP - 113

EP - 140

AB - 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.

LA - eng

KW - structural acoustic model with thermal effects; optimal control problem; smart controls; nonstandard Riccati equations; analyticity of semigroups

UR - http://eudml.org/doc/271470

ER -

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