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...    »