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Stability of Motion

  • 1st Edition - January 1, 1966
  • Latest edition
  • Author: A. M. Liapunov
  • Editor: Richard Bellman
  • Language: English

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… Read more

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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

PrefaceTranslators' NoteIntroductionReferencesAn Investigation of One of the Singular Cases of the Theory of Stability of Motion, IOn the Problem of the Stability of MotionAn Investigation of One of the Singular Cases of the Theory of Stability of Motion, IIChapter I: Systems of Second OrderAn Investigation of a Transcendental Case of the Theory of Stability of MotionReferencesIndex

Product details

  • Edition: 1
  • Latest edition
  • Published: February 16, 2016
  • Language: English

About the editor

RB

Richard Bellman

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