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OverviewThe 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. Full Product DetailsAuthor: Vangipuram Lakshmikantham , Srinivasa Leela , Anatoly A. MartynyukPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: Softcover reprint of the original 2nd ed. 2015 Dimensions: Width: 15.50cm , Height: 1.80cm , Length: 23.50cm Weight: 0.528kg ISBN: 9783319800905ISBN 10: 3319800906 Pages: 329 Publication Date: 30 March 2018 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsPreface 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.Reviews“This text is published by Birkhäuser in the systems and control series. … The text is of most value to academics, researchers and students working in nonlinear systems.” (ACTC applied control technology consortium, actc-control.com, March, 2016) This text is published by Birkhauser in the systems and control series. ... The text is of most value to academics, researchers and students working in nonlinear systems. (ACTC applied control technology consortium, actc-control.com, March, 2016) Author InformationTab Content 6Author Website:Countries AvailableAll regions |