TY  - BOOK
AU  - Adly,Samir
ED  - SpringerLink (Online service)
TI  - A Variational Approach to Nonsmooth Dynamics: Applications in Unilateral Mechanics and Electronics 
T2  - SpringerBriefs in Mathematics,
SN  - 9783319686585
AV  - QA315-316 
U1  - 515.64 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Calculus of variations
KW  - System theory
KW  - Control engineering
KW  - Vibration
KW  - Dynamical systems
KW  - Dynamics
KW  - Physics
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Systems Theory, Control
KW  - Control and Systems Theory
KW  - Vibration, Dynamical Systems, Control
KW  - Applications of Graph Theory and Complex Networks
N1  - 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-68658-5
ER  -