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Stability Analysis of Nonlinear Systems
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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
Links to Related Works
Subject References:
Dynamical systems and ergodic theory
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Dynamics
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Ergodic theory
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Mathematics
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System theory
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Systems Theory, Control
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Authors:
author
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Lakshmikantham, Vangipuram 1926-
.
Leela, Srinivasa
.
Lakshmikantham, Vangipuram, 1926-
.
Martynyuk, Anatoly A.
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Systems & control : foundations & applications
.
Classification:
515.39
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515.48
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.
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