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Stability Analysis of Nonlinear Systems de Vangipuram Lakshmikantham

Stability Analysis of Nonlinear Systems: Systems & Control: Foundations & Applications

Autor Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk
en Limba Engleză Hardback – 8 ian 2016
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.


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Specificații

ISBN-13: 9783319271996
ISBN-10: 3319271997
Pagini: 329
Ilustrații: XI, 329 p.
Dimensiuni: 155 x 235 x 21 mm
Greutate: 0.66 kg
Ediția:2nd ed. 2015
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Systems & Control: Foundations & Applications

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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. 

Recenzii

“This text is published by Birkhäuser in the systems and control series. … The text is of most value to academics, researchers and students working in nonlinear systems.” (ACTC applied control technology consortium, actc-control.com, March, 2016)

Textul de pe ultima copertă

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.

Caracteristici

This references/text illuminates the most important results of the Lyapunov stability theory for several classes of equations of perturbed motion It is first book that investigates stability theory in terms of two measures It treats the theory of variety of inequalities, and demonstrates manifestations of the general Lyapunov method via scalar, vector and matrix-valued functions