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Stability analysis of nonlinear systems

Lakshmikantham, Vangipuram.

Stability analysis of nonlinear systems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stability analysis of nonlinear systemsby Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk.
作者:	Lakshmikantham, Vangipuram.
其他作者:	Leela, Srinivasa.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	ix, 329 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	System analysisMathematical models.
電子資源:	http://dx.doi.org/10.1007/978-3-319-27200-9
ISBN:	9783319272009$q(electronic bk.)

Stability analysis of nonlinear systems
Lakshmikantham, Vangipuram.

Stability analysis of nonlinear systems[electronic resource] /by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk. - 2nd ed. - Cham :Springer International Publishing :2015. - ix, 329 p. :ill., digital ;24 cm. - Systems & control: foundations & applications,2324-9749. - Systems & control: foundations & applications..

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.

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.

ISBN: 9783319272009$q(electronic bk.)

Standard No.: 10.1007/978-3-319-27200-9doiSubjects--Topical Terms:

231631
System analysis
--Mathematical models.

LC Class. No.: QA402

Dewey Class. No.: 003

Stability analysis of nonlinear systems
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245 1 0 $a Stability analysis of nonlinear systems $h [electronic resource] / $c by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk.
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505 0 $a 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.
520 $a 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.
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