Projected incrementally scattering passive systems on closed convex sets
Optimization and Control
2026-07-09 v1
Abstract
In this article we show that the projected dynamical system obtained by restricting the state of an incrementally scattering passive system to a closed and convex subset K of the state space (a real Hilbert space), is also an incrementally scattering passive system. First we show that the projection of a maximal dissipative operator to the tangent cones of K is again maximal dissipative, hence, it determines a contraction semigroup.
Cite
@article{arxiv.2607.08301,
title = {Projected incrementally scattering passive systems on closed convex sets},
author = {Shantanu Singh and Sébastien Fueyo and George Weiss},
journal= {arXiv preprint arXiv:2607.08301},
year = {2026}
}
Comments
31 pages