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A variational approach to nonsmooth dynamics = applications in unilateral mechanics and electronics /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A variational approach to nonsmooth dynamics/ by Samir Adly.
Reminder of title:	applications in unilateral mechanics and electronics /
Author:	Adly, Samir.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xv, 159 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Dynamics - Mathematical models. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-68658-5
ISBN:	9783319686585

A variational approach to nonsmooth dynamics = applications in unilateral mechanics and electronics /
Adly, Samir.

A variational approach to nonsmooth dynamicsapplications in unilateral mechanics and electronics /[electronic resource] :by Samir Adly. - Cham :Springer International Publishing :2017. - xv, 159 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

ISBN: 9783319686585

Standard No.: 10.1007/978-3-319-68658-5doiSubjects--Topical Terms:

782340
Dynamics
--Mathematical models.

LC Class. No.: TA352

Dewey Class. No.: 515.39

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505 0 $a 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.
520 $a 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.
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