Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions
Catherine Lebiedzik, Roberto Triggiani (2009)
Control and Cybernetics
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Displaying similar documents to “Regularity of wave and plate equations with interior point control”
Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions
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Lasiecka, I., Triggiani, R. (2003)
Abstract and Applied Analysis
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The operator for the wave equation with Dirichlet control.
Lasiecka, I., Triggiani, R. (2004)
Abstract and Applied Analysis
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Control-theoretic properties of structural acoustic models with thermal effects, II. Trace regularity results
Francesca Bucci (2008)
Applicationes Mathematicae
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We consider a structural acoustic problem with the flexible wall modeled by a thermoelastic plate, subject to Dirichlet boundary control in the thermal component. We establish sharp regularity results for the traces of the thermal variable on the boundary in case the system is supplemented with clamped mechanical boundary conditions. These regularity estimates are most crucial for validity of the optimal control theory developed by Acquistapace et al. [Adv. Differential Equations, 2005],...
Stabilization and control for the subcritical semilinear wave equation
Belhassen Dehman, Gilles Lebeau, Enrique Zuazua (2003)
Annales scientifiques de l'École Normale Supérieure
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Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation
Irena Lasiecka, Roberto Triggiani (2008)
Control and Cybernetics
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An abstract setting for differential Riccati equations in optimal control problems for hyperbolic/Petrowski-type P. D. E. s with boundary control and slightly smoothing observation.
Triggiani, R. (1996)
Abstract and Applied Analysis
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