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＜E-Book＞
Stability Analysis of Nonlinear Systems / by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk
(Systems & Control: Foundations & Applications. ISSN:23249757)

Edition	2nd ed. 2015.
Publisher	(Cham : Springer International Publishing : Imprint: Birkhäuser)
Year	2015
Language	English
Size	XI, 329 p : online resource
Authors	*Lakshmikantham, Vangipuram author Leela, Srinivasa author Martynyuk, Anatoly A author SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:System theory LCSH:Control theory FREE:Dynamical Systems FREE:Systems Theory, Control
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-319-27200-9

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