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A variational approach to nonsmooth ...

Adly, Samir.

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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A variational approach to nonsmooth dynamics/ by Samir Adly.
其他題名:	applications in unilateral mechanics and electronics /
作者:	Adly, Samir.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xv, 159 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Dynamics - Mathematical models. -
電子資源:	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:

566519
Dynamics
--Mathematical models.

LC Class. No.: TA352

Dewey Class. No.: 515.39

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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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