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Stability Analysis of Nonlinear Systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Stability Analysis of Nonlinear Systems/ by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk.
Author:	Lakshmikantham, Vangipuram.
other author:	Leela, Srinivasa.
Description:	XI, 329 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Dynamics. -
Online resource:	https://doi.org/10.1007/978-3-319-27200-9
ISBN:	9783319272009

Stability Analysis of Nonlinear Systems
Lakshmikantham, Vangipuram.

Stability Analysis of Nonlinear Systems[electronic resource] /by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk. - 2nd ed. 2015. - XI, 329 p.online resource. - Systems & Control: Foundations & Applications,2324-9749. - Systems & Control: Foundations & Applications,.

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. .

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.

ISBN: 9783319272009

Standard No.: 10.1007/978-3-319-27200-9doiSubjects--Topical Terms:

592238
Dynamics.

LC Class. No.: QA313

Dewey Class. No.: 515.39

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