{"ID":6267126,"CreatedAt":"2026-07-10T01:11:38.759438437Z","UpdatedAt":"2026-07-13T01:02:08.706470581Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2607.08301","arxiv_id":"2607.08301","title":"Projected incrementally scattering passive systems on closed convex sets","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.","short_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 dissip...","url_abs":"https://arxiv.org/abs/2607.08301","url_pdf":"https://arxiv.org/pdf/2607.08301v1","authors":"[\"Shantanu Singh\",\"Sébastien Fueyo\",\"George Weiss\"]","published":"2026-07-09T09:44:37Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}