Ebook: Control and Optimal Design of Distributed Parameter Systems

The articles in this volume focus on control theory of systems governed by nonlinear linear partial differential equations, identification and optimal design of such systems, and modelling of advanced materials. Optimal design of systems governed by PDEs is a relatively new area of study, now particularly relevant because of interest in optimization of fluid flow in domains of variable configuration, advanced and composite materials studies and "smart" materials which include possibilities for built in sensing and control actuation. The book will be of interest to both applied mathematicians and to engineers.

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The articles in this volume focus on control theory of systems governed by nonlinear linear partial differential equations, identification and optimal design of such systems, and modelling of advanced materials. Optimal design of systems governed by PDEs is a relatively new area of study, now particularly relevant because of interest in optimization of fluid flow in domains of variable configuration, advanced and composite materials studies and "smart" materials which include possibilities for built in sensing and control actuation. The book will be of interest to both applied mathematicians and to engineers.

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The articles in this volume focus on control theory of systems governed by nonlinear linear partial differential equations, identification and optimal design of such systems, and modelling of advanced materials. Optimal design of systems governed by PDEs is a relatively new area of study, now particularly relevant because of interest in optimization of fluid flow in domains of variable configuration, advanced and composite materials studies and "smart" materials which include possibilities for built in sensing and control actuation. The book will be of interest to both applied mathematicians and to engineers.
Content:
Front Matter....Pages i-xv
A Shape Optimization Problem in Inverse Acoustics....Pages 1-23
On a Variational Equation for Thin Shells....Pages 25-37
Oriented Distance Functions in Shape Analysis and Optimization....Pages 39-72
On the Density of the Range of the Semigroup for Semilinear Heat Equations....Pages 73-91
Relaxation in Semilinear Infinite Dimensional Systems Modelling Fluid Flow Control Problems....Pages 93-111
Multidimensional Inverse Scattering Problems in Deterministic and Random Media....Pages 113-151
Decay Estimates for the Wave Equation....Pages 153-169
Asymptotic Behavior and Attractors for Nonlinear von K?rm?n Plate Equations with Boundary Dissipation....Pages 171-193
Stabilization of the Korteweg-de Vries Equation on a Periodic Domain....Pages 195-211
A Note Concerning Boundary Effects and Long Time Vibrations of Layered Media....Pages 213-228
On the Linearised Dynamics of Linked Mechanical Structures....Pages 229-246

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The articles in this volume focus on control theory of systems governed by nonlinear linear partial differential equations, identification and optimal design of such systems, and modelling of advanced materials. Optimal design of systems governed by PDEs is a relatively new area of study, now particularly relevant because of interest in optimization of fluid flow in domains of variable configuration, advanced and composite materials studies and "smart" materials which include possibilities for built in sensing and control actuation. The book will be of interest to both applied mathematicians and to engineers.
Content:
Front Matter....Pages i-xv
A Shape Optimization Problem in Inverse Acoustics....Pages 1-23
On a Variational Equation for Thin Shells....Pages 25-37
Oriented Distance Functions in Shape Analysis and Optimization....Pages 39-72
On the Density of the Range of the Semigroup for Semilinear Heat Equations....Pages 73-91
Relaxation in Semilinear Infinite Dimensional Systems Modelling Fluid Flow Control Problems....Pages 93-111
Multidimensional Inverse Scattering Problems in Deterministic and Random Media....Pages 113-151
Decay Estimates for the Wave Equation....Pages 153-169
Asymptotic Behavior and Attractors for Nonlinear von K?rm?n Plate Equations with Boundary Dissipation....Pages 171-193
Stabilization of the Korteweg-de Vries Equation on a Periodic Domain....Pages 195-211
A Note Concerning Boundary Effects and Long Time Vibrations of Layered Media....Pages 213-228
On the Linearised Dynamics of Linked Mechanical Structures....Pages 229-246
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