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＜電子ブック＞
Stability Analysis of Nonlinear Systems / by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk
(Systems & Control: Foundations & Applications. ISSN:23249757)

版	2nd ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2015
本文言語	英語
大きさ	XI, 329 p : online resource
著者標目	*Lakshmikantham, Vangipuram author Leela, Srinivasa author Martynyuk, Anatoly A author SpringerLink (Online service)
件　名	LCSH:Dynamical systems LCSH:System theory LCSH:Control theory FREE:Dynamical Systems FREE:Systems Theory, Control
一般注記	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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