@inproceedings{, author = {Gwinner, Joachim}, title = {A note on linear differential variational inequalities in Hilbert space}, editor = {Hömberg, Dietmar }, booktitle = {System modeling and optimization}, series = {IFIP Advances in Information and Communication Technology }, journal = {}, address = {}, publisher = {Springer }, edition = {}, year = {2013}, isbn = {978-3-642-36061-9}, volume = {391}, number = {}, pages = {85-91}, url = {}, doi = {10.1007/978-3-642-36062-6_9}, keywords = {}, 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.}, note = {}, institution = {Universität der Bundeswehr München, Fakultät für Luft- und Raumfahrttechnik, LRT 1 - Institut für Mathematik und Rechneranwendung, Professur: Gwinner, Joachim}, }