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03334nam a22005895i 4500 |
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DE-He213 |
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20180219194708.0 |
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180219s2017 gw | s |||| 0|eng d |
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|a 9783319686585
|9 978-3-319-68658-5
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|a 10.1007/978-3-319-68658-5
|2 doi
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|d GrThAP
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|a QA315-316
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|a QA402.5-QA402.6
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|a 515.64
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|a Adly, Samir.
|e author.
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|a A Variational Approach to Nonsmooth Dynamics
|h [electronic resource] :
|b Applications in Unilateral Mechanics and Electronics /
|c by Samir Adly.
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| 264 |
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2017.
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| 300 |
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|a XV, 159 p. 55 illus., 26 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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| 505 |
0 |
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|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.
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|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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| 650 |
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|a Mathematics.
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| 650 |
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|a System theory.
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| 650 |
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|a Calculus of variations.
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| 650 |
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|a Vibration.
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| 650 |
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|a Dynamical systems.
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| 650 |
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|a Dynamics.
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|a Control engineering.
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4 |
|a Mathematics.
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| 650 |
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|a Calculus of Variations and Optimal Control; Optimization.
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| 650 |
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4 |
|a Systems Theory, Control.
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| 650 |
2 |
4 |
|a Control.
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| 650 |
2 |
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|a Vibration, Dynamical Systems, Control.
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| 650 |
2 |
4 |
|a Applications of Graph Theory and Complex Networks.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9783319686578
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| 830 |
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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| 856 |
4 |
0 |
|u http://dx.doi.org/10.1007/978-3-319-68658-5
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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