Control and Optimal Design of Distributed Parameter Systems

1. Front Matter

   Pages i-xv

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2. A Shape Optimization Problem in Inverse Acoustics

   • Giovanni Crosta

   Pages 1-23

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3. On a Variational Equation for Thin Shells

   • M. C. Delfour, J. P. Zolésio

   Pages 25-37

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4. Oriented Distance Functions in Shape Analysis and Optimization

   • Michel C. Delfour, Jean-Paul Zolésio

   Pages 39-72

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5. On the Density of the Range of the Semigroup for Semilinear Heat Equations

   • Caroline Fabre, Jean-Pierre Puel, Enrique Zuazua

   Pages 73-91

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6. Relaxation in Semilinear Infinite Dimensional Systems Modelling Fluid Flow Control Problems

   • H. O. Fattorini, S. S. Sritharan

   Pages 93-111

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7. Multidimensional Inverse Scattering Problems in Deterministic and Random Media

   • Semion Gutman, Michael Klibanov

   Pages 113-151

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8. Decay Estimates for the Wave Equation

   • Vilmos Komornik

   Pages 153-169

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9. Asymptotic Behavior and Attractors for Nonlinear von Kármán Plate Equations with Boundary Dissipation

   • Irena Lasiecka

   Pages 171-193

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10. Stabilization of the Korteweg-de Vries Equation on a Periodic Domain

    • David L. Russell, Bing-Yu Zhang

    Pages 195-211

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11. A Note Concerning Boundary Effects and Long Time Vibrations of Layered Media

    • Fadil Santosa, Michael Vogelius

    Pages 213-228

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12. On the Linearised Dynamics of Linked Mechanical Structures

    • E. J. P. Georg Schmidt

    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.

• Volume
• configuration
• design
• differential equation
• equation
• identification
• inverse scattering problem
• mathematical programming
• modeling
• modelling
• online
• optimization
• partial differential equation
• stabilization
• variable

• Department of Mathematics, Georgetown University, USA

  John E. Lagnese

• Department of Mathematics, Virginia Polytechnic and State University, Blacksburg, USA

  David L. Russell

• Department of Mathematics, University of Oklahoma, Norman, USA

  Luther W. White

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