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 “Control-theoretic properties of structural acoustic models with thermal effects, II. Trace regularity results”
Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions
-regularity of the boundary to boundary operator for hyperbolic and Petrowski PDEs.
Lasiecka, I., Triggiani, R. (2003)
Abstract and Applied Analysis
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Singular perturbation for the Dirichlet boundary control of elliptic problems
Faker Ben Belgacem, Henda El Fekih, Hejer Metoui (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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A current procedure that takes into account the Dirichlet boundary condition with non-smooth data is to change it into a Robin type condition by introducing a penalization term; a major effect of this procedure is an easy implementation of the boundary condition. In this work, we deal with an optimal control problem where the control variable is the Dirichlet data. We describe the Robin penalization, and we bound the gap between the penalized and the non-penalized boundary controls for...
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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Inverse optimal dynamic boundary control for uncertain Korteweg-de Vries-Burgers equation
Xiushan Cai, Yuhang Lin, Cong Lin, Leipo Liu (2024)
Kybernetika
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We investigate Korteweg-de Vries-Burgers (KdVB) equation, where the dissipation and dispersion coefficients are unknown, but their lower bounds are known. First, we establish dynamic boundary controls with update laws to globally exponentially stabilize this uncertain system. Secondly, we demonstrate that the dynamic boundary control design is suboptimal to a meaningful functional after some minor modifications of the dynamic boundary controls. In addition, we also consider dynamic boundary...
Regularity and optimal control of quasicoupled and coupled heating processes
Jiří Jarušek (1996)
Applications of Mathematics
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Sufficient conditions for the stresses in the threedimensional linearized coupled thermoelastic system including viscoelasticity to be continuous and bounded are derived and optimization of heating processes described by quasicoupled or partially linearized coupled thermoelastic systems with constraints on stresses is treated. Due to the consideration of heating regimes being “as nonregular as possible” and because of the well-known lack of results concerning the classical regularity...