Mathematical Theory of Control Systems Design

  • V. N. Afanas’ev
  • V. B. Kolmanovskii
  • V. R. Nosov

Part of the Mathematics and Its Applications book series (MAIA, volume 341)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Stability of Control Systems

    1. Front Matter
      Pages 1-1
    2. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 3-71
    3. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 73-103
  3. Control of Deterministic Systems

    1. Front Matter
      Pages 125-125
    2. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 127-150
    3. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 151-181
    4. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 183-237
    5. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 239-300
    6. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 301-341
    7. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 343-373
  4. Optimal Control of Dynamical Systems under Random Disturbances

    1. Front Matter
      Pages 391-391
    2. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 393-434
    3. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 435-466
    4. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 467-507
    5. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 509-542
  5. Numerical Methods in Control Systems

    1. Front Matter
      Pages 553-553
    2. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 555-579
    3. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 581-618
    4. V. N. Afanas’ev, V. B. Kolmanovskii, V. R. Nosov
      Pages 619-639

About this book

Introduction

Give, and it shall be given unto you. ST. LUKE, VI, 38. The book is based on several courses of lectures on control theory and appli­ cations which were delivered by the authors for a number of years at Moscow Electronics and Mathematics University. The book, originally written in Rus­ sian, was first published by Vysshaya Shkola (Higher School) Publishing House in Moscow in 1989. In preparing a new edition of the book we planned to make only minor changes in the text. However, we soon realized that we like many scholars working in control theory had learned many new things and had had many new insights into control theory and its applications since the book was first published. Therefore, we rewrote the book especially for the English edition. So, this is substantially a new book with many new topics. The book consists of an introduction and four parts. Part One deals with the fundamentals of modern stability theory: general results concerning stability and instability, sufficient conditions for the stability of linear systems, methods for determining the stability or instability of systems of various type, theorems on stability under random disturbances.

Keywords

Calculus of Variations Mathematica Optimal control automation calculus control control system control theory dynamical system dynamical systems dynamische Systeme mechanics nonlinear control numerical methods programming

Authors and affiliations

  • V. N. Afanas’ev
    • 1
  • V. B. Kolmanovskii
    • 1
  • V. R. Nosov
    • 1
  1. 1.Moscow University of Electronics and MathematicsMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-2203-2
  • Copyright Information Springer Science+Business Media B.V. 1996
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4615-4
  • Online ISBN 978-94-017-2203-2
  • About this book
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