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Advances in Nonlinear Dynamics and Control: A Report from Russia

  • Book
  • © 1993

Overview

Editors:
  1. Alexander B. Kurzhanski

    1. Faculty of Computational Mathematics and Cybernetics (VMK), Moscow State University, Moscow, Russia

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Part of the book series: Progress in Systems and Control Theory (PSCT, volume 17)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-viii
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  2. The Decomposition of Controlled Dynamic Systems

    • F. L. Chernousko
    Pages 1-40

  3. A Differential Game for the Minimax of a Positional Functional

    • N. N. Krasovskii, A. N. Krasovskii
    Pages 41-73

  4. Global Methods in Optimal Control Theory

    • V. F. Krotov
    Pages 74-121

  5. On the Theory of Trajectory Tubes — A Mathematical Formalism for Uncertain Dynamics, Viability and Control

    • A. B. Kurzhanski, T. F. Filippova
    Pages 122-188

  6. A Theory of Generalized Solutions to First-Order PDEs with an Emphasis on Differential Games

    • A. I. Subbotin
    Pages 189-229

  7. Adaptivity and Robustness in Automatic Control Systems

    • Ya. Z. Tsypkin
    Pages 230-276

  8. Back Matter

    Pages 277-278
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Keywords

About this book

The purpose of this volume is to present a coherent collection of overviews of recent Russian research in Control Theory and Nonlinear Dynamics written by active investigators in these fields. It is needless to say that the contribution of the scientists of the former Soviet Union to the development of nonlinear dynamics and control was significant and that their scientific schools and research community have highly evolved points of view, accents and depth which complemented, enhanced and sometimes inspired research directions in the West. With scientific exchange strongly increasing, there is still a consider­ able number of Eastern publications unknown to the Western community. We have therefore encouraged the authors to produce extended bibliogra­ phies in their papers. The particular emphasis of this volume is on the treatment of uncer­ tain systems in a deterministic setting-a field highly developed in the former Soviet Union and actively investigated in the West. The topics are concentrated around the three main branches of un­ certain dynamics which are the theory of Differential Games, the set­ membership approach to Evolution, Estimation and Control and the the­ ory of Robust Stabilization. The application of these techniques to non­ linear systems as well as the global optimization of the latter are also among the issues treated in this volume.

Editors and Affiliations

  • Faculty of Computational Mathematics and Cybernetics (VMK), Moscow State University, Moscow, Russia

    Alexander B. Kurzhanski

Bibliographic Information

  • Book Title: Advances in Nonlinear Dynamics and Control: A Report from Russia

  • Editors: Alexander B. Kurzhanski

  • Series Title: Progress in Systems and Control Theory

  • DOI: https://doi.org/10.1007/978-1-4612-0349-0

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1993

  • Hardcover ISBN: 978-0-8176-3736-1Published: 01 February 1994

  • Softcover ISBN: 978-1-4612-6719-5Published: 25 October 2012

  • eBook ISBN: 978-1-4612-0349-0Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VIII, 278

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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