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Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems

Proceedings of the 10th International Conference, Sophia-Antipolis, France, June 9-12, 1992

  • Conference proceedings
  • © 1993

Overview

Editors:
  1. R. F. Curtain
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  2. A. Bensoussan
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  3. J. L. Lions
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Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 185)

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Table of contents (43 papers)

  1. Front Matter

    Download chapter PDF

  2. Introduction to semigroup theory

    • A. J. Pritchard
    Pages 1-22

  3. Riccati equations arising from boundary and point control problems

    • Irena Lasiecka
    Pages 23-45

  4. A state-space approach to H ∞-control problems for infinite-dimensional systems

    • Bert van Keulen
    Pages 46-71

  5. Infinite dimensional system transfer functions

    • Frank M. Callier, Joseph Winkin
    Pages 72-101

  6. Stabilization and regulation of infinite-dimensional systems using coprime factorizations

    • Hartmut Logemann
    Pages 102-139

  7. Robust controllers for infinite-dimensional systems

    • Ruth F. Curtain
    Pages 140-159

  8. Control for hyperbolic equations

    • Gilles Lebeau
    Pages 160-183

  9. An introduction to the hilbert uniqueness method

    • A. Bensoussan
    Pages 184-198

  10. The nehari problem and optimal hankel norm approximation

    • N. J. Young
    Pages 199-221

  11. Topological approaches to robustness

    • Tryphon T. Georgiou, Malcolm C. Smith
    Pages 222-241

  12. Frequency domain methods for the H ∞-Optimization of distributed systems

    • Allen Tannenbaum
    Pages 242-278

  13. Disturbance decoupling problem for infinite-dimensional systems

    • H. J. Zwart
    Pages 279-289

  14. Simultaneous triangular-decoupling, disturbance-rejection and stabilization problem for infinite-dimensional systems

    • Naohisa Otsuka, Hiroshi Inaba, Kazuo Toraichi
    Pages 290-301

  15. Robust stability radii for distributed parameter systems: A survey

    • Stuart Townley
    Pages 302-313

  16. Solutions of the ARE in terms of the hamiltonian for riesz-spectral systems

    • C. R. Kuiper, H. J. Zwart
    Pages 314-325

  17. Regional controllability of distributed systems

    • A. El Jai, A. J. Pritchard
    Pages 326-335

  18. On filtering of the hilbert space-valued stochastic process over discrete-continuous observations

    • Orlov Yu. V., Basin M. V.
    Pages 336-346

  19. Boundary stabilization of rotating flexible systems

    • Cheng -Zhong Xu, Gauthier Sallet
    Pages 347-365

  20. Frequency domain methods for proving the uniform stability of vibrating systems

    • Richard Rebarber
    Pages 366-377
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Keywords

About this book

This volume contains the proceedings of the conference "state and Frequency Domain Approaches to Infinite-Dimensional Systems". The aim was to bring together engineers and mathematicians working in the field of linear infinite-dimensional systems who are specialists in one or more of the following categories of mathematical approaches: semigroup approches,p.d.e. approaches, frequency domain approaches and syntheses of state-space and frequency domain approaches. Since these approaches use very different sophisticated mathematical techniques, it is unusual for a scientist to be expert in all of them. On the other hand, there different approaches all purport to address the same control problems for the same classes of linear infinite-dimensional systems. It is therefore important to compare and discuss the advantages and disadvantages of these different mathematical techniques. To help ameliorate the communication gab a series of introductory tutorial lectures were given by specialists in the above-mentioned fields. There were complemented by some key survey papers on more recent research, as well as by papers representing original research in these areas.

Bibliographic Information

  • Book Title: Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems

  • Book Subtitle: Proceedings of the 10th International Conference, Sophia-Antipolis, France, June 9-12, 1992

  • Editors: R. F. Curtain, A. Bensoussan, J. L. Lions

  • Series Title: Lecture Notes in Control and Information Sciences

  • DOI: https://doi.org/10.1007/BFb0115017

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • eBook ISBN: 978-3-540-47480-7Published: 05 December 2007

  • Series ISSN: 0170-8643

  • Series E-ISSN: 1610-7411

  • Edition Number: 1

  • Number of Pages: XIII, 648

  • Number of Illustrations: 54 b/w illustrations

  • Topics: Control, Robotics, Mechatronics, Mathematical and Computational Engineering

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