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  • © 1989

Three Decades of Mathematical System Theory

A Collection of Surveys at the Occasion of the 50th Birthday of Jan C. Willems

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 135)

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Table of contents (21 chapters)

  1. Front Matter

  2. The cascade structure in system theory

    • A. C. Antoulas
    Pages 1-18
  3. Pole assignment by output feedback

    • C. I. Byrnes
    Pages 31-78
  4. Zeros, poles and modules in linear system theory

    • G. Conte, A. M. Perdon
    Pages 79-100
  5. A state space approach to H optimal control

    • K. Glover, J. C. Doyle
    Pages 179-218
  6. Scattering theory, unitary dilations and Gaussian processes

    • S. K. Mitter, Y. B. Avniel
    Pages 302-338
  7. On the theory of nonlinear control systems

    • H. Nijmeijer
    Pages 339-357
  8. Linear system representations

    • J. M. Schumacher
    Pages 382-408
  9. Optimal Control

    • H. J. Sussmann
    Pages 409-425
  10. System theory and mechanics

    • A. J. van der Schaft
    Pages 426-452
  11. Stochastic realization problems

    • J. H. van Schuppen
    Pages 480-523

About this book

The field of modern mathematical system theory has its origins in the work of R.E. Kalman in the late fifties. It came to a rapid development in the early sixties, and has seen a continuing and still growing stream of contributions in the years that followed. Today, it stands as a well-established discipline. The volume Three Decades of Mathematical System Theory surveys the developments in this field by presenting 21 articles covering the broad area of system and control theory. All articles have been written by well-known authors, who were invited to give their personal expert view on a particular direction of research. Together, the contributions in this volume review the wide range of mathematical methods that are being applied in modern system and control theory. The mathematical fields that are involved included differential and algebraic geometry, linear and commutative algebra, and functional and stochastic analysis.

Bibliographic Information

Buy it now

Buying options

Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access