| Dewey Class |
515.64 |
| Titolo |
A Variational Approach to Nonsmooth Dynamics ([EBook]) : Applications in Unilateral Mechanics and Electronics / / by Samir Adly. |
| Autore |
Adly, Samir |
| Other name(s) |
SpringerLink (Online service) |
| Pubblicazione |
Cham : : Springer International Publishing : : Imprint: Springer, , 2017. |
| Physical Details |
XV, 159 p. 55 illus., 26 illus. in color. : online resource. |
| Serie |
SpringerBriefs in Mathematics 2191-8198 |
| ISBN |
9783319686585 |
| Summary Note |
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.: |
| Contents note |
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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-3-319-68658-5 |
| Link alle Opere Legate |
Riferimenti soggetto: .
Applications of Graph Theory and Complex Networks .
Calculus of variations .
Calculus of variations and optimal control; optimization .
Control .
Control engineering .
Dynamical Systems .
Dynamics .
Mathematics .
System theory .
Systems Theory, Control .
Vibration .
Vibration, Dynamical Systems, Control .
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