{"ID":6267266,"CreatedAt":"2026-07-10T01:11:38.759438437Z","UpdatedAt":"2026-07-13T01:02:08.706470581Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2607.08637","arxiv_id":"2607.08637","title":"Aclass of incrementally scattering-passive nonlinear systems","abstract":"We investigate a special class of nonlinear infinite dimensional systems. These are obtained by subtracting a nonlinear maximal monotone (possibly multi-valued) operator M from the semigroup generator of a scattering passive linear system. While the linear system may have unbounded linear damping (for instance, boundary damping) which is only densely defined, the nonlinear damping operator M is assumed to be defined on the whole state space. We show that this new class of nonlinear infinite dimensional systems is well-posed and incrementally scattering passive. Our approach uses the theory of maximal monotone operators and the Crandall-Pazy theorem about nonlinear contraction semigroups, which we apply to a Lax-Phillips type nonlinear semigroup that represents the whole system.","short_abstract":"We investigate a special class of nonlinear infinite dimensional systems. These are obtained by subtracting a nonlinear maximal monotone (possibly multi-valued) operator M from the semigroup generator of a scattering passive linear system. While the linear system may have unbounded linear damping (for instance, boundar...","url_abs":"https://arxiv.org/abs/2607.08637","url_pdf":"https://arxiv.org/pdf/2607.08637v1","authors":"[\"Shantanu Singh\",\"George Weiss\",\"Marius Tucsnak\"]","published":"2026-07-09T16:11:34Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}