Stability Analysis of Nonlinear Systems

ISBN-13: 9783319800905 / Angielski / Miękka / 2018 / 329 str.

Vangipuram Lakshmikantham; Srinivasa Leela; Anatoly A. Martynyuk

Recenzje

"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)

Spis treści

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. 

Blurb

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.