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Texts in Applied Mathematics #24: Introduction to the Theory of Stabilityby David R. Merkin
Synopses & Reviews
The present book deals with the issues of stability of Motion which most often are encountered in the analysis of scientific and technical problems. There are many comprehensive monographs on the theory of stability of motion, with each one devoted to a separate complicated issue of the theory. The main advantage of this book, however, is its simple yet simultaneous rigorous presentation of the concepts of the theory, which often are presented in the context of applied problems with detailed examples demonstrating effective methods of solving practical problems.
Includes bibliographical references (p. -315) and index.
Table of Contents
Contents: Formulation of the Problem.- Direct Liapunov Method. Autonomous Systems.- Stability of Equilibrium States and Stationary Motions of Conservative Systems.- Stability in the First Order Approximation.- Stability of Linear Autonomous Systems.- The Effect of Force Type on Stability of Motion.- Nonautonomous Systems.- Automatic Control Systems.- Frequency Method.
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Science and Mathematics » Mathematics » Analysis General