Stability analysis of nonlinear systems /

Stability analysis of nonlinear systems /

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Bibliographic Details
Author / Creator:	Lakshmikantham, V., 1926- author.
Edition:	Second edition.
Imprint:	Cham : Birkhäuser, 2015.
Description:	1 online resource (xi, 329 pages).
Language:	English
Series:	Systems & control: Foundations & applications, 2324-9749 Systems & control,
Subject:	System analysis -- Mathematical models. Nonlinear theories. Stability. Nonlinear theories. Stability. System analysis -- Mathematical models.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11097304

Hidden Bibliographic Details
Other authors / contributors:	Leela, S., author. Martyni︠u︡k, A. A. (Anatoliĭ Andreevich), author.
ISBN:	9783319272009 3319272004 3319271997 9783319271996 9783319271996
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed January 13, 2016).
Summary:	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.
Other form:	Printed edition: 9783319271996
Standard no.:	10.1007/978-3-319-27200-9

Table of Contents:

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.