Stability Analysis of Nonlinear Systems

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

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.


Author(s): Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk
Series: Systems & Control: Foundations & Applications
Edition: 2nd ed.
Publisher: Birkhäuser
Year: 2016

Language: English
Pages: 339
Tags: Dynamical Systems and Ergodic Theory; Systems Theory, Control

Front Matter....Pages i-xi
Inequalities....Pages 1-66
Variation of Parameters and Monotone Technique....Pages 67-134
Stability of Motion in Terms of Two Measures....Pages 135-200
Stability of Perturbed Motion....Pages 201-252
Stability In The Models of Real World Phenomena....Pages 253-309
Back Matter....Pages 311-329