Stability of Motion - 1st Edition - ISBN: 9781483230092, 9781483266763

Stability of Motion

1st Edition

Authors: A. M. Liapunov
Editors: Richard Bellman
eBook ISBN: 9781483266763
Imprint: Academic Press
Published Date: 1st January 1966
Page Count: 216
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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

Details

No. of pages:
216
Language:
English
Copyright:
© Academic Press 1966
Published:
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