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Control and Estimation of Distributed Parameter Systems

International Conference in Vorau, Austria, July 14-20, 1996

  • Conference proceedings
  • © 1998

Overview

Editors:
  1. W. Desch

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

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  2. F. Kappel

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

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  3. K. Kunisch

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

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 126)

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Table of contents (23 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Approximation Results for Parameter Estimation in Nonlinear Elastomers

    • H. T. Banks, Gabriella A. Pinter
    Pages 1-13

  3. Preconditioners for Karush-Kuhn-Tucker Matrices Arising in the Optimal Control of Distributed Systems

    • A. Battermann, M. Heinkenschloss
    Pages 15-32

  4. Augmented Lagrangian Algorithms for State Constrained Optimal Control Problems

    • M. Bergounioux, K. Kunisch
    Pages 33-48

  5. A Priori Estimates for the Approximation of a Parabolic Boundary Control Problem

    • Ariela Briani, Maurizio Falcone
    Pages 49-65

  6. On the Wellposedness of the Chaboche Model

    • Martin Brokate, Pavel Krejčí
    Pages 67-79

  7. On the Behaviour of the Value Function of a Mayer Optimal Control Problem along Optimal Trajectories

    • Piermarco Cannarsa, Maria Elisabetta Tessitore
    Pages 81-88

  8. Optimal Control Problem Governed by Semilinear Elliptic Equations with Integral Control Constraints and Pointwise State Constraints

    • E. Casas, J.-P. Raymond, H. Zidani
    Pages 89-102

  9. Designing for Optimal Energy Absorption II, The Damped Wave Equation

    • Steven J. Cox
    Pages 103-109

  10. On the Approximate Controllability for Higher Order Parabolic Nonlinear Equations of Cahn-Hilliard Type

    • J. I. Díaz, A. M. Ramos
    Pages 111-127

  11. Control Problems for Parabolic Equations with State Constraints and Unbounded Control Sets

    • H. O. Fattorini
    Pages 129-140

  12. Remarks on the Controllability of Some Stochastic Partial Differential Equations

    • E. Fernández-Cara, J. Real
    Pages 141-151

  13. A Reduced Basis Method for Control Problems Governed by PDEs

    • K. Ito, S. S. Ravindran
    Pages 153-168

  14. Proximal Penalty Method for Ill-Posed Parabolic Optimal Control Problems

    • A. Kaplan, R. Tichatschke
    Pages 169-182

  15. On the Control of Coupled Linear Systems

    • Vilmos Komornik, Paola Loreti, Enrique Zuazua
    Pages 183-189

  16. On Dynamic Domain Decomposition of Controlled Networks of Elastic Strings and Joint-Masses

    • G. Leugering
    Pages 191-205

  17. On a Weakly Damped System Arising in the Control of Noise

    • Sorin Micu, Enrique Zuazua
    Pages 207-222

  18. Dirichlet Boundary Control of Parabolic Systems with Pointwise State Constraints

    • Boris S. Mordukhovich, Kaixia Zhang
    Pages 223-236

  19. Second Order Optimality Conditions and Stability Estimates for the Identification of Nonlinear Heat Transfer Laws

    • Arnd Rösch
    Pages 237-246

  20. LQR Control of Shell Vibrations via Piezoceramic Actuators

    • R. C. H. del Rosario, R. C. Smith
    Pages 247-265
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Keywords

About this book

Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations. Topics addressed include, but are not limited to - control and stability of hyperbolic systems related to elasticity, linear and nonlinear; - control and identification of nonlinear parabolic systems; - exact and approximate controllability, and observability; - Pontryagin's maximum principle and dynamic programming in PDE; and - numerics pertinent to optimal and suboptimal control problems. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of a vigorously expanding area in applied mathematics.

Reviews

    "The book makes an important theoretical contribution… By its broad coverage, good organization, the theoretical results included, and the highlighted potential applications, [it] recommends itself as an advanced, supplementary reading in mathematical system theory for partial differential equations."    -- Studies in Informatics and Control   

Editors and Affiliations

  • Institut für Mathematik, Universität Graz, Graz, Austria

    W. Desch, F. Kappel, K. Kunisch

Bibliographic Information

  • Book Title: Control and Estimation of Distributed Parameter Systems

  • Book Subtitle: International Conference in Vorau, Austria, July 14-20, 1996

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

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8849-3

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1998

  • Hardcover ISBN: 978-3-7643-5835-8Published: 24 March 1998

  • Softcover ISBN: 978-3-0348-9800-3Published: 05 November 2012

  • eBook ISBN: 978-3-0348-8849-3Published: 06 December 2012

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: X, 310

  • Topics: Analysis, Numerical Analysis, Systems Theory, Control

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