東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

A variational approach to nonsmooth ...

Adly, Samir.

Linked to FindBook

Google Book

Amazon

博客來

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

Record Type:	Electronic resources : 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.
[NT 15003449]:	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
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:

566519
Dynamics
--Mathematical models.

LC Class. No.: TA352

Dewey Class. No.: 515.39

A variational approach to nonsmooth dynamics = applications in unilateral mechanics and electronics /
LDR:02411nmm a2200349 a 4500 001 2113906
003 DE-He213
005 20180219194708.0
006 m d
007 cr nn 008maaau
008 180816s2017 gw s 0 eng d
020 $a 9783319686585 $q (electronic bk.)
020 $a 9783319686578 $q (paper)
024 7 $a 10.1007/978-3-319-68658-5 $2 doi
035 $a 978-3-319-68658-5
040 $a GP $c GP
041 0 $a eng
050 4 $a TA352
072 7 $a PBKQ $2 bicssc
072 7 $a PBU $2 bicssc
072 7 $a MAT005000 $2 bisacsh
072 7 $a MAT029020 $2 bisacsh
082 0 4 $a 515.39 $2 23
090 $a TA352 $b .A237 2017
100 1 $a Adly, Samir. $3 3274964
245 1 2 $a A variational approach to nonsmooth dynamics $h [electronic resource] : $b applications in unilateral mechanics and electronics / $c by Samir Adly.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xv, 159 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
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.
650 0 $a Dynamics $x Mathematical models. $3 566519
650 0 $a Nonsmooth optimization. $3 709245
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 898674
650 2 4 $a Systems Theory, Control. $3 893834
650 2 4 $a Control. $3 1006321
650 2 4 $a Vibration, Dynamical Systems, Control. $3 893843
650 2 4 $a Applications of Graph Theory and Complex Networks. $3 3134760
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-68658-5
950 $a Mathematics and Statistics (Springer-11649)