Stability Analysis of Nonlinear Systems

• Main Authors: Lakshmikantham, Vangipuram (Author), Leela, Srinivasa (Author), Martynyuk, Anatoly A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Edition: 2nd ed. 2015.
• Series: Systems & Control: Foundations & Applications,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; System theory.; Dynamical Systems and Ergodic Theory.; Systems Theory, Control.

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 me...

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. .