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010   $a3-319-68658-5
024 7 $a10.1007/978-3-319-68658-5
035   $a(CKB)4100000002485322
035   $a(MiAaPQ)EBC5307295
035   $a(DE-He213)978-3-319-68658-5
035   $a(PPN)224638807
035   $a(EXLCZ)994100000002485322
100   $a20180219d2017      u|             0
101 0 $aeng
135   $aurcnu||||||||
181   $2rdacontent
182   $2rdamedia
183   $2rdacarrier
200 12$aA Variational Approach to Nonsmooth Dynamics$b[electronic resource] $eApplications in Unilateral Mechanics and Electronics /$fby Samir Adly
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (168 pages) $cillustrations (some clor)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
311   $a3-319-68657-7 
320   $aIncludes bibliographical references and index.
327   $a1 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.
330   $aThis brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process. The field of nonsmooth dynamics is of great interest to mathematicians, mechanicians, automatic controllers and engineers. The present volume acknowledges this transversality and provides a multidisciplinary view as it outlines fundamental results in nonsmooth dynamics and explains how to use them to study various problems in engineering. In particular, the author explores the question of how to redefine the notion of dynamical systems in light of modern variational and nonsmooth analysis. With the aim of bridging between the communities of applied mathematicians, engineers and researchers in control theory and nonlinear systems, this brief outlines both relevant mathematical proofs and models in unilateral mechanics and electronics.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aCalculus of variations
606   $aSystem theory
606   $aControl engineering
606   $aVibration
606   $aDynamical systems
606   $aDynamics
606   $aPhysics
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010
606   $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036
606   $aApplications of Graph Theory and Complex Networks$3https://scigraph.springernature.com/ontologies/product-market-codes/P33010
615  0$aCalculus of variations.
615  0$aSystem theory.
615  0$aControl engineering.
615  0$aVibration.
615  0$aDynamical systems.
615  0$aDynamics.
615  0$aPhysics.
615 14$aCalculus of Variations and Optimal Control; Optimization.
615 24$aSystems Theory, Control.
615 24$aControl and Systems Theory.
615 24$aVibration, Dynamical Systems, Control.
615 24$aApplications of Graph Theory and Complex Networks.
676   $a003.85
700   $aAdly$b Samir$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767649
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910279757003321
996   $aA Variational Approach to Nonsmooth Dynamics$92056064
997   $aUNINA