Stability Analysis of Nonlinear Systems
Stability Analysis of Nonlinear Systems
Birkhäuser | Mathematics | January 31, 2016 | ISBN-10: 3319271997 | 329 pages | pdf | 2.68 mb
Birkhäuser | Mathematics | January 31, 2016 | ISBN-10: 3319271997 | 329 pages | pdf | 2.68 mb
Authors: Lakshmikantham, Vangipuram, Leela, Srinivasa, Martynyuk, Anatoly A.
This references/text illuminates the most important results of the Lyapunov stability theory for several classes of equations of perturbed motion
It is first book that investigates stability theory in terms of two measures
It treats the theory of variety of inequalities, and demonstrates manifestations of the general Lyapunov method via scalar, vector and matrix-valued functions
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.
Topics
Dynamical Systems and Ergodic Theory
Systems Theory, Control
More info and Hardcover at Springer
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