Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk
EDITION STATEMENT
Edition Statement
Second edition
Edition Statement
Second edition
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xi, 329 pages).
SERIES
Series Title
Systems & control: Foundations & applications,
ISSN of Series
2324-9749
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index
CONTENTS NOTE
Text of Note
Preface to the Second Edition -- Preface -- 1 Inequalities -- 2 Variation of parameters and monotone technique -- 3 Stability of Motion in Terms of Two Measures -- 4 Stability of perturbed motion -- 5 Models of Real World Phenomena.
0
SUMMARY OR ABSTRACT
Text of Note
The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners. Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations