A note on linear differential variational inequalities in Hilbert space
Collection editors:
Hömberg, Dietmar
Title of conference publication:
System modeling and optimization
Series title:
IFIP Advances in Information and Communication Technology
Series volume:
391
Conference title:
IFIP TC 7 Conference on System Modeling and Optimization (25., 2011, Berlin)
Conference title:
25th IFIP TC 7 conference on system modeling and optimization, CSMO 2011
Venue:
Berlin
Year of conference:
2011
Date of conference beginning:
12.09.2011
Date of conference ending:
16.09.2011
Publisher:
Springer
Year:
2013
Pages from - to:
85-91
Language:
Englisch
Abstract:
The purpose of this short note is to “lift a class of nonsmooth dynamical systems to the level of a Hilbert space, but to focus to linear input/output systems” (from the abstract). The author provides an existence result based on maximal monotone operator theory and studies the stability of the solution set of linear differential variational inequalities. Furthermore, a “novel upper set convergence result with respect to perturbations in the data, including perturbations of the associated linear maps and the constraint set” (from the abstract) is presented. «
The purpose of this short note is to “lift a class of nonsmooth dynamical systems to the level of a Hilbert space, but to focus to linear input/output systems” (from the abstract). The author provides an existence result based on maximal monotone operator theory and studies the stability of the solution set of linear differential variational inequalities. Furthermore, a “novel upper set convergence result with respect to perturbations in the data, including perturbations of the associated linear... »