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Stability Analysis of Nonlinear Systems

Stability Analysis of Nonlinear Systems
Catalogue Information
Field name Details
Dewey Class 515.39
515.48
Title Stability Analysis of Nonlinear Systems ([EBook]) / by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk.
Author Lakshmikantham, Vangipuram , 1926-
Added Personal Name Leela, Srinivasa
Martynyuk, Anatoly A.
Other name(s) SpringerLink (Online service)
Edition statement 2nd ed. 2015.
Publication Cham : Springer International Publishing , 2015.
Physical Details XI, 329 pages : online resource.
Series Systems & control : foundations & applications 2324-9749
ISBN 9783319272009
Summary Note 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 note 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. .
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-319-27200-9
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