Stability Analysis of Nonlinear Systems / by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk.

Format:

Book

Author/Creator:

Lakshmikantham, Vangipuram., Author.

Leela, Srinivasa., Author.

Martynyuk, Anatoly A., Author.

Series:

Systems & Control: Foundations & Applications, 2324-9749

Language:

English

Subjects (All):

Dynamics.

Ergodic theory.

System theory.

Dynamical Systems and Ergodic Theory.

Systems Theory, Control.

Local Subjects:

Dynamical Systems and Ergodic Theory.

Systems Theory, Control.

Physical Description:

1 online resource (339 p.)

Edition:

2nd ed. 2015.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.

Language Note:

English

Summary:

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.

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. .

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

3-319-27200-4