Dynamical Systems, Control, Coding, Computer Vision

1. Front Matter

   Pages ii-xi

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2. Riccati Equations, Network Theory and Brune Synthesis: Old Solutions for Contemporary Problems

   • Brian D. O. Anderson

   Pages 1-25

3. Passive Linear Systems and Scattering Theory

   • D. Z. Arov

   Pages 27-44

4. Tracking Control and π-Freeness of Infinite Dimensional Linear Systems

   • Michel Fliess, Hugues Mounier

   Pages 45-68

5. On Canonical Wiener-Hopf Factorizations

   • P. A. Fuhrmann

   Pages 69-91

6. State Space Methods for Analysis Problems Involving Rational Matrix Functions

   • I. Gohberg, M. A. Kaashoek

   Pages 93-109

7. Stabilization of Nonlinear Systems Using Output Feedback

   • A. Isidori

   Pages 111-133

8. Towards a System Theory for Model Set: Chain-Scattering Approach

   • Hidenori Kimura

   Pages 135-156

9. The Role of the Hamiltonian in the Solution of Algebraic Riccati Equations

   • Peter Lancaster

   Pages 157-172

10. The Control and Mechanics of Human Movement Systems

    • Clyde F. Martin, Lawrence Schovanec

    Pages 173-202

11. Numerical Methods for Linear Quadratic and H _∞ Control Problems

    • Peter Benner, Ralph Byers, Volker Mehrmann, Hongguo Xu

    Pages 203-222

12. Nonlinear Feedback Stabilization Revisited

    • Eduardo D. Sontag

    Pages 223-262

13. Probabilistic Robustness Analysis and Design of Uncertain Systems

    • R. Tempo, F. Dabbene

    Pages 263-282

14. An Approach to Observer Design

    • Maria Elena Valcher, Jan C. Willems

    Pages 283-299

15. Group Codes and Behaviors

    • G. David Forney Jr.

    Pages 301-320

16. The Berlekamp-Massey algorithm, error-correction, keystreams and modeling

    • Margreet Kuijper

    Pages 321-341

17. An Algebraic Decoding Algorithm for Convolutional Codes

    • Joachim Rosenthal

    Pages 343-360

18. Introduction to Mathematical aspects of computer vision

    • J. Malik, P. Perona

    Pages 361-368

19. The Structure and Motion of Surfaces

    • R. Cipolla, P. R. S. Mendonça

    Pages 369-391

20. Shape from Texture and Shading with Wavelets

    • M. Clerc, S. Mallat

    Pages 393-417

This book is a collection of essays devoted in part to new research direc­ tions in systems, networks, and control theory, and in part to the growing interaction of these disciplines with new sectors of engineering and applied sciences like coding, computer vision, and hybrid systems. These are new areas of rapid growth and of increasing importance in modern technology. The essays, written by world-leading experts in the field, reproduce and expand the plenary and minicoursejminisymposia invited lectures which were delivered at the Mathematical Theory of Networks and Systems Sym­ posium (MTNS-98), held in Padova, Italy, on July 6-10, 1998. Systems, control, and networks theory has permeated the development of much of present day technology. The impact has been visible in the past fifty years through the dramatic expansion and achievements of the aerospace and avionics industry, through process control and factory au­ tomation, robotics, communication signals analysis and synthesis, and, more recently, even finance, to name just the most visible applications. The theory has developed from the early phase of its history when the ba­ sic tools were elementary complex analysis, Laplace transform, and linear differential equations, to present day, where the mathematics ranges widely from functional analysis, PDE's, abstract algebra, stochastic processes and differential geometry. Irrespective of the particular tools, however, the ba­ sic unifying paradigms of feedback, stability, optimal control, and recursive filtering, have remained the bulk of the field and continue to be the basic motivation for the theory, coming from the real world.

• Networks
• algebra
• dynamical systems
• equation
• function
• geometry
• mathematics

"...A valuable reference to graduate students, scientists, and researchers in the area of information and control engineering [that] should also be valuable to the system and control community as an introduction to system-related methods in coding, vision, and control of hybrid systems."

--Simulation News Europe 

• Dipartimento di Elettronica e Informatica, Università di Padova, Padova, Italia

  Giorgio Picci

• Department of Mathematics and Statistics, Texas Tech University, Lubbock, USA

  David S. Gilliam

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