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Stability Analysis of Nonlinear Systems / by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk

データ種別 電子書籍
2nd ed. 2015.
出版者 Cham : Springer International Publishing : Imprint: Birkhäuser
出版年 2015

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URL オンライン

EB2043137


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書誌ID OB01016905
本文言語 英語
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. .
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Summary: 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
著者標目 *Lakshmikantham, Vangipuram
Leela, Srinivasa
Martynyuk, Anatoly A
SpringerLink (Online service)
統一書名標目 Systems & Control: Foundations & Applications,
件 名 LCSH:Mathematics
LCSH:Dynamics
LCSH:Ergodic theory
LCSH:System theory
FREE:Mathematics
FREE:Dynamical Systems and Ergodic Theory
FREE:Systems Theory, Control
分 類 LCC:QA313
DC23:515.39
DC23:515.48
巻冊次 ISBN:9783319272009 RefWorks出力(各巻)
print ; ISBN:9783319271996 RefWorks出力(各巻)
資料種別 機械可読データファイル
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