Bibliographic Information

Qualitative theory of control systems

A.A. Davydov ; [translated by V.M. Volosov]

(Translations of mathematical monographs, v. 141)

American Mathematical Society , MIR Publishers, c1994

Other Title

Качественная теория управляемых систем

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Note

"Translated by V. M. Volosov from an original Russian manuscript"--t.p. verso

Description and Table of Contents

Description

This book analyzes control systems using results from singularity theory and the qualitative theory of ordinary differential equations. The main part of the book focuses on systems with two-dimensional phase space. The study of singularities of controllability boundaries for a typical system leads to the classification of normal forms of implicit first-order differential equations near a singular point. Davydov indicates several applications of these normal forms. The book is accessible to graduate students and researchers working in control theory, singularity theory, and various areas of differential equations, as well as in applications.

Table of Contents

Implicit first-order differential equations Local controllability of a system Structural stability of control systems Attainability boundary of a multidimensional system References.

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Details

  • NCID
    BA23698956
  • ISBN
    • 082184590X
  • LCCN
    94030834
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    rus
  • Place of Publication
    Providence, R.I.,Moscow
  • Pages/Volumes
    viii, 147 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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