An introduction to stability theory by Anand Pillay

Cover of: An introduction to stability theory | Anand Pillay

Published by Clarendon Press, Oxford University Press in Oxford, New York .

Written in English

Read online

Subjects:

  • Model theory.,
  • Stability.

Edition Notes

Book details

Statementby Anand Pillay.
SeriesOxford logic guides ;, 8, Oxford science publications
Classifications
LC ClassificationsQA9.7 .P55 1983
The Physical Object
Paginationxi, 146 p. ;
Number of Pages146
ID Numbers
Open LibraryOL2800390M
ISBN 100198531869
LC Control Number83230797

Download An introduction to stability theory

An introduction to stability theory book introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications.

Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. edition. This book is an introduction to the theory of stability of motion. The principal focus of the book is to present the most effective methods, such as the direct method of Liapunov, stability in the first-order approximation, and frequency methods, which can be used in studying stability by: The present book deals only with those issues of stability of motion that most often are encountered in the solution of scientific and technical problems.

This allows the author to explain the theory in a simple but rigorous manner without going into minute details that would be of interest only to specialists. Many books on stability theory of motion have been published in various lan guages, including English.

Most of these are comprehensive monographs, with each one devoted to a separate complicated issue of the theory. Generally, the examples included in such books are very interesting from the point of view of mathematics, without necessarily having much practical s: 1.

Introduction to the Theory of Stability by David R. Merkin,available at Book Depository with free delivery worldwide. This book is an introduction to the theory of stability of motion. The principal focus of the book is to present the most effective methods, such as the direct method of Liapunov, stability in the first-order approximation, and frequency methods, which can be used in studying stability issues.

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(called global exponential stability, and is stronger than G.A.S.) then, there is a Lyapunov function that proves the system is exponentially stable, i.e., there is a function V: Rn → R and constant α > 0 s.t. • V is positive definite • V˙ (z) ≤ −αV(z) for all z Basic Lyapunov theory 12– Abstract.

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