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Computation and Control

Proceedings of the Bozeman Conference, Bozeman, Montana, August 1–11, 1988

  • Conference proceedings
  • © 1989

Overview

Authors:
  1. Kenneth Bowers

    1. Department of Mathematics, Montana State University, Bozeman, USA

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  2. John Lund

    1. Department of Mathematics, Montana State University, Bozeman, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Progress in Systems and Control Theory (PSCT, volume 1)

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Table of contents (30 papers)

  1. Front Matter

    Pages I-XIII
    Download chapter PDF

  2. Simultaneous Stabilization of Linear Time Varying Systems by Linear Time Varying Compensation

    • P. R. Bouthellier, B. K. Ghosh
    Pages 1-9

  3. Robust Feedback Stabilization of Nonlinear Systems

    • Christopher I. Byrnes, Xiaoming Hu, Alberto Isidori
    Pages 11-22

  4. Feedback Design from the Zero Dynamics Point of View

    • Christopher I. Byrnes, Alberto Isidori
    Pages 23-52

  5. Two Examples of Stabilizable Second Order Systems

    • W. P. Dayawansa, C. F. Martin
    Pages 53-61

  6. Orthogonality — Conventional and Unconventional — In Numerical Analysis

    • Walter Gautschi
    Pages 63-95

  7. Discrete Observability of Parabolic Initial Boundary Value Problems

    • David S. Gilliam, Clyde F. Martin
    Pages 97-104

  8. Numerical Optimal Control Via Smooth Penalty Functions

    • Mohammed Hasan, Bruce N. Lundberg, Aubrey B. Poore, Bing Yang
    Pages 105-115

  9. Observability and Inverse Problems Arising in Electrocardiography

    • I. Iakovidis, C. F. Martin, S. Xie
    Pages 117-131

  10. Eigenvalue Approximations on the Entire Real Line

    • Mary Jarratt
    Pages 133-144

  11. Prediction Bands for ILL-Posed Problems

    • Andrzej Jonca
    Pages 145-154

  12. Controllability, Approximations and Stabilization

    • Matthias Kawski
    Pages 155-167

  13. Interval Mathematics Techniques for Control Theory Computations

    • R. Baker Kearfott
    Pages 169-178

  14. Accuracy and Conditioning in the Inversion of the Heat Equation

    • John Lund
    Pages 179-196

  15. On the Recovery of Surface Temperature and Heat Flux via Convolutions

    • B. A. Mair
    Pages 197-207

  16. Observability, Interpolation and Related Topics

    • Clyde F. Martin
    Pages 209-232

  17. Constructing Polynomials over Finite Fields

    • Clyde F. Martin, Mark Stamp
    Pages 233-252

  18. A Collocative Variation of the Sinc-Galerkin Method for Second Order Boundary Value Problems

    • Kelly Marie McArthur
    Pages 253-261

  19. A Sinc-Collocation Method for Weakly Singular Volterra Integral Equations

    • Bruce V. Riley
    Pages 263-275

  20. Tuning Natural Frequencies by Output Feedback

    • J. Rosenthal
    Pages 277-282
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Keywords

About this book

The problem of developing a systematic approach to the design of feed­ back strategies capable of shaping the response of complicated dynamical control systems illustrates the integration of a wide variety of mathemat­ ical disciplines typical of the modern theory of systems and control. As a concrete example, one may consider the control of fluid flow across an airfoil, for which recent experiments indicate the possibility of delaying the onset of turbulence by controlling viscosity through thermal actuators located on the airfoil. In general, there are two approaches to the con­ trol of such a complica. ted process, the development of extremely detailed models of the process followed by the derivation of a more "dedicated" feed­ back law or the development of a more simple model class followed by the derivation of control laws which are more robust to unmodelled dynamics and exogeneous disturbances. In either approach, the two twin themes of approximation and computation play a significant role in the derivation and implementation of resulting control laws. And there is no doubt that the cross-fertilization between these twin themes and control theory will increase unabated throughout the next decade, not just as an important component of design and implementation of control laws but also as a source of new problems in computational mathematics. In this volume, we present a collection of papers which were deliv­ ered at the first Bozeman Conference on Computation and Control, held at Montana State University on August 1-11, 1988.

Authors and Affiliations

  • Department of Mathematics, Montana State University, Bozeman, USA

    Kenneth Bowers, John Lund

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