03364nam 22006255 450 991030024830332120200705122146.03-319-27200-410.1007/978-3-319-27200-9(CKB)3710000000541907(EBL)4305866(SSID)ssj0001597445(PQKBManifestationID)16296626(PQKBTitleCode)TC0001597445(PQKBWorkID)14886160(PQKB)10952674(DE-He213)978-3-319-27200-9(MiAaPQ)EBC4305866(PPN)190885556(EXLCZ)99371000000054190720151229d2015 u| 0engur|n|---|||||txtccr Stability Analysis of Nonlinear Systems /by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk2nd ed. 2015.Cham :Springer International Publishing :Imprint: Birkhäuser,2015.1 online resource (339 p.)Systems & Control: Foundations & Applications,2324-9749Description based upon print version of record.3-319-27199-7 Includes bibliographical references and index.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.Systems & Control: Foundations & Applications,2324-9749DynamicsErgodic theorySystem theoryDynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XSystems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Dynamics.Ergodic theory.System theory.Dynamical Systems and Ergodic Theory.Systems Theory, Control.510Lakshmikantham Vangipuramauthttp://id.loc.gov/vocabulary/relators/aut269023Leela Srinivasaauthttp://id.loc.gov/vocabulary/relators/autMartynyuk Anatoly Aauthttp://id.loc.gov/vocabulary/relators/autBOOK9910300248303321Stability analysis of nonlinear systems1490733UNINA