{"ID":2824206,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.23203","arxiv_id":"2512.23203","title":"Coefficient-level output-feedback stabilization of linear port-Hamiltonian descriptor systems","abstract":"This paper studies coefficient-level, structure-preserving output-feedback stabilization of linear port-Hamiltonian (pH) descriptor systems. Existing stabilization conditions generally require explicit pH representations, which may be costly to compute. We consider descriptor systems for which only the coefficient matrices are available and for which a pH representation is known to exist but is not explicitly given. For proportional output feedback, we derive coefficient-level conditions that are equivalent to the known solvability criteria in the explicit pH setting. These conditions ensure that the closed-loop system is regular, impulse-free, asymptotically stable, and remains port-Hamiltonian. We further extend the framework to proportional-derivative output feedback and enable the assignment of a prescribed dynamical order. Under the proposed conditions, the proportional gain may be chosen as any symmetric positive definite matrix, and the derivative gain is constructed from coefficient-based decompositions, without computing a pH representation.","short_abstract":"This paper studies coefficient-level, structure-preserving output-feedback stabilization of linear port-Hamiltonian (pH) descriptor systems. Existing stabilization conditions generally require explicit pH representations, which may be costly to compute. We consider descriptor systems for which only the coefficient matr...","url_abs":"https://arxiv.org/abs/2512.23203","url_pdf":"https://arxiv.org/pdf/2512.23203v2","authors":"[\"Shuo Shi\",\"Juan Zhang\"]","published":"2025-12-29T04:58:03Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}