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Stability analysis of nonlinear systems

Lakshmikantham, Vangipuram.

Stability analysis of nonlinear systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stability analysis of nonlinear systemsby Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk.
Author:	Lakshmikantham, Vangipuram.
other author:	Leela, Srinivasa.
Published:	Cham :Springer International Publishing :2015.
Description:	ix, 329 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	System analysisMathematical models.
Online resource:	http://dx.doi.org/10.1007/978-3-319-27200-9
ISBN:	9783319272009$q(electronic bk.)

Stability analysis of nonlinear systems
Lakshmikantham, Vangipuram.

Stability analysis of nonlinear systems[electronic resource] /by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk. - 2nd ed. - Cham :Springer International Publishing :2015. - ix, 329 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

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

231631
System analysis
--Mathematical models.

LC Class. No.: QA402

Dewey Class. No.: 003

Stability analysis of nonlinear systems
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100 1 $a Lakshmikantham, Vangipuram. $3 732753
245 1 0 $a Stability analysis of nonlinear systems $h [electronic resource] / $c by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2015.
300 $a ix, 329 p. : $b ill., digital ; $c 24 cm.
490 1 $a Systems & control: foundations & applications, $x 2324-9749
505 0 $a 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.
520 $a 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.
650 0 $a System analysis $x Mathematical models. $3 231631
650 0 $a Nonlinear theories. $3 182014
650 0 $a Stability. $3 191051
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Systems Theory, Control. $3 274654
700 1 $a Leela, Srinivasa. $3 732754
700 1 $a Martynyuk, Anatoly A. $3 732755
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830 0 $a Systems & control: foundations & applications. $3 573103
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-27200-9
950 $a Mathematics and Statistics (Springer-11649)