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Stability Analysis of Nonlinear Systems

✍ Scribed by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk

Publisher
BirkhΓ€user
Year
2016
Tongue
English
Leaves
339
Series
Systems & Control: Foundations & Applications
Edition
2nd ed.
Category
Library
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✦ Synopsis

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.


✦ Table of Contents

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

✦ Subjects

Dynamical Systems and Ergodic Theory; Systems Theory, Control

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