Computation and Control

1. Front Matter

   Pages I-XIII

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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

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.

• Approximation
• Interpolation
• actuator
• bifurcation
• control theory
• identification
• modeling
• nonlinear system
• optimal control

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

  Kenneth Bowers, John Lund