Stability of Motion

Stability of Motion

1st Edition - January 1, 1966

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  • Author: A. M. Liapunov
  • eBook ISBN: 9781483266763

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Description

Mathematics in Science and Engineering, Volume 30: Stability of Motion deals with the problem of stability of motion. This volume investigates the problem of stability of the unperturbed motion in cases such as the system of differential equations for the perturbed motion is autonomie and the characteristic equation of the linear system that gives the first approximation has a double zero root. When the order of the system is larger than two (n > 2), all the remaining roots have negative real parts. The double root corresponds to a multiple elementary divisor of the characteristic matrix. This book is a good reference for mathematicians, students, and specialists conducting work on the stability of motion.

Table of Contents


  • Preface

    Translators' Note

    Introduction

    References

    An Investigation of One of the Singular Cases of the Theory of Stability of Motion, I

    On the Problem of the Stability of Motion

    An Investigation of One of the Singular Cases of the Theory of Stability of Motion, II

    Chapter I: Systems of Second Order

    An Investigation of a Transcendental Case of the Theory of Stability of Motion

    References

    Index

Product details

  • No. of pages: 216
  • Language: English
  • Copyright: © Academic Press 1966
  • Published: January 1, 1966
  • Imprint: Academic Press
  • eBook ISBN: 9781483266763

About the Author

A. M. Liapunov

About the Editor

Richard Bellman

Affiliations and Expertise

Departments of Mathematics, Electrical Engineering, and Medicine University of Southern California Los Angeles, California

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