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Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena

International Conference in Vorau (Austria), July 18–24, 1993

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. W. Desch

    1. Institut für Mathematik, Universitat Graz, Graz, Austria

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  2. F. Kappel

    1. Institut für Mathematik, Universitat Graz, Graz, Austria

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  3. K. Kunisch

    1. Fachbereich Mathematik, Technische Universitat Berlin, Berlin, Germany

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 118)

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Table of contents (22 papers)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. A Semigroup Formulation of a Nonlinear Size-Structured Distributed Rate Population Model

    • H. T. Banks, F. Kappel, C. Wang
    Pages 1-19

  3. Damage Detection and Characterization in Smart Material Structures

    • H. T. Banks, Y. Wang
    Pages 21-43

  4. Optimality Conditions for Non-Qualified Parabolic Control Problems

    • M. Bergounioux, T. Männikkö, D. Tiba
    Pages 45-60

  5. Convergence of Trajectories for a Controlled Viscous Burgers’ Equation

    • Christopher I. Byrnes, David S. Gilliam, Victor I. Shubov
    Pages 61-77

  6. Optimality Conditions for Boundary Control Problems of Parabolic Type

    • Piermarco Cannarsa, Maria Elisabetta Tessitore
    Pages 79-96

  7. Pontryagin’s Principle for Optimal Control Problems Governed by Semilinear Elliptic Equations

    • Eduardo Casas
    Pages 97-114

  8. Invariance of the Hamiltonian in Control Problems for Semilinear Parabolic Distributed Parameter Systems

    • H. O. Fattorini
    Pages 115-130

  9. Rate Distribution Modeling for Structured Heterogeneous Populations

    • Ben G. Fitzpatrick
    Pages 131-141

  10. A Model for a Two-Layered Plate with Interfacial Slip

    • Scott W. Hansen
    Pages 143-170

  11. Numerical Solution of a Constrained Control Problem for a Phase Field Model

    • M. Heinkenschloss, E. W. Sachs
    Pages 171-187

  12. Uniform Stabilizability of Nonlinearly Coupled Kirchhoff Plate Equations

    • Mary Ann Horn, Irena Lasiecka
    Pages 189-210

  13. Boundary Temperature Control for Thermally Coupled Navier-Stokes Equations

    • Kazufumi Ito
    Pages 211-230

  14. Adaptive Estimation of Nonlinear Distributed Parameter Systems

    • Joseph Kazimir, I. G. Rosen
    Pages 231-251

  15. Decay Estimates for the Wave Equation with Internal Damping

    • Vilmos Komornik
    Pages 253-266

  16. On the Controllability of the Rotation of a Flexible Arm

    • W. Krabs
    Pages 267-279

  17. Modeling and Controllability of Interconnected Elastic Membranes

    • J. E. Lagnese
    Pages 281-299

  18. On Feedback Controls for Dynamic Networks of Strings and Beams and their Numerical Simulation

    • Günter Leugering
    Pages 301-326

  19. Various Relaxations in Optimal Control of Distributed Parameter Systems

    • Tomáš Roubíček
    Pages 327-341

  20. Convergence of an SQP-Method for a Class of Nonlinear Parabolic Boundary Control Problems

    • Fredi Tröltzsch
    Pages 343-357
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Keywords

About this book

22 papers on control of nonlinear partial differential equations highlight the area from a broad variety of viewpoints. They comprise theoretical considerations such as optimality conditions, relaxation, or stabilizability theorems, as well as the development and evaluation of new algorithms. A significant part of the volume is devoted to applications in engineering, continuum mechanics and population biology.

Editors and Affiliations

  • Institut für Mathematik, Universitat Graz, Graz, Austria

    W. Desch, F. Kappel

  • Fachbereich Mathematik, Technische Universitat Berlin, Berlin, Germany

    K. Kunisch

Bibliographic Information

  • Book Title: Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena

  • Book Subtitle: International Conference in Vorau (Austria), July 18–24, 1993

  • Editors: W. Desch, F. Kappel, K. Kunisch

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8530-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1994

  • Hardcover ISBN: 978-3-7643-5098-7Published: 01 September 1994

  • Softcover ISBN: 978-3-0348-9666-5Published: 24 October 2012

  • eBook ISBN: 978-3-0348-8530-0Published: 06 December 2012

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XIII, 402

  • Topics: Computational Mathematics and Numerical Analysis, Applications of Mathematics

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