عنوان

Stability analysis of nonlinear systems /

3319272004

9783319272009

3319271997 (print)

9783319271996

9783319271996 (print)

dltt

Stability analysis of nonlinear systems /

[Book]

Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk

Second edition

Second edition

1 online resource (xi, 329 pages).

Systems & control: Foundations & applications,

2324-9749

Includes bibliographical references and index

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.

0

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

9783319271996

Nonlinear theories.

Stability.

System analysis-- Mathematical models.

MAT034000

PBWR

Lakshmikantham, V.,1926-

Leela, S.

Martyn͡iuk, A. A., (Anatoliĭ Andreevich)

Ohio Library and Information Network.

20160212074714.9

pn

[Book]

Y