04095nam 22007215 450 991027975700332120200703111159.03-319-68658-510.1007/978-3-319-68658-5(CKB)4100000002485322(MiAaPQ)EBC5307295(DE-He213)978-3-319-68658-5(PPN)224638807(EXLCZ)99410000000248532220180219d2017 u| 0engurcnu||||||||rdacontentrdamediardacarrierA Variational Approach to Nonsmooth Dynamics Applications in Unilateral Mechanics and Electronics /by Samir Adly1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (168 pages) illustrations (some clor)SpringerBriefs in Mathematics,2191-81983-319-68657-7 Includes bibliographical references and index.1 Mathematical Background -- 2 Nonsmooth Dynamics: An Overview -- 3 Stability Analysis of First-order Nonsmooth Dynamics -- 4 Stability Analysis of Second-order Nonsmooth Dynamics -- 5 Nonsmooth Lur’e Dynamical Systems -- 6 Moreau’s Sweeping Processes -- Historical vignettes -- References -- Index.This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process. The field of nonsmooth dynamics is of great interest to mathematicians, mechanicians, automatic controllers and engineers. The present volume acknowledges this transversality and provides a multidisciplinary view as it outlines fundamental results in nonsmooth dynamics and explains how to use them to study various problems in engineering. In particular, the author explores the question of how to redefine the notion of dynamical systems in light of modern variational and nonsmooth analysis. With the aim of bridging between the communities of applied mathematicians, engineers and researchers in control theory and nonlinear systems, this brief outlines both relevant mathematical proofs and models in unilateral mechanics and electronics.SpringerBriefs in Mathematics,2191-8198Calculus of variationsSystem theoryControl engineeringVibrationDynamical systemsDynamicsPhysicsCalculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Control and Systems Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/T19010Vibration, Dynamical Systems, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/T15036Applications of Graph Theory and Complex Networkshttps://scigraph.springernature.com/ontologies/product-market-codes/P33010Calculus of variations.System theory.Control engineering.Vibration.Dynamical systems.Dynamics.Physics.Calculus of Variations and Optimal Control; Optimization.Systems Theory, Control.Control and Systems Theory.Vibration, Dynamical Systems, Control.Applications of Graph Theory and Complex Networks.003.85Adly Samirauthttp://id.loc.gov/vocabulary/relators/aut767649MiAaPQMiAaPQMiAaPQBOOK9910279757003321A Variational Approach to Nonsmooth Dynamics2056064UNINA