EAN: 9783319686578

SPRINGERBRIEFS IN MATHEMATICS A VARIATIONAL 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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