Stability Analysis of Nonlinear Systems

Author:   Vangipuram Lakshmikantham ,  Srinivasa Leela ,  Anatoly A. Martynyuk
Publisher:   Birkhauser Verlag AG
Edition:   2nd ed. 2015
ISBN:  

9783319271996


Pages:   329
Publication Date:   08 January 2016
Format:   Hardback
Availability:   In Print   Availability explained
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Stability Analysis of Nonlinear Systems


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Overview

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.

Full Product Details

Author:   Vangipuram Lakshmikantham ,  Srinivasa Leela ,  Anatoly A. Martynyuk
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2nd ed. 2015
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   6.387kg
ISBN:  

9783319271996


ISBN 10:   3319271997
Pages:   329
Publication Date:   08 January 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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.

Reviews

This text is published by Birkhauser 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)


“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)


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