{"ID":2845694,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.03265","arxiv_id":"2511.03265","title":"Computing the nearest $Ω$-admissible descriptor dissipative Hamiltonian system","abstract":"For a given set $Ω\\subseteq \\mathbb{C}$, a matrix pair $(E,A)$ is called $Ω$-admissible if it is regular, impulse-free and its eigenvalues lie inside the region $Ω$. In this paper, we provide a dissipative Hamiltonian characterization for the matrix pairs that are $Ω$-admissible where $Ω$ is an LMI region. We then use these results for solving the nearest $Ω$-admissible matrix pair problem: Given a matrix pair $(E,A)$, find the nearest $Ω$-admissible pair $(\\tilde E, \\tilde A)$ to the given pair $(E,A)$. We illustrate our results on several data sets and compare with the state of the art.","short_abstract":"For a given set $Ω\\subseteq \\mathbb{C}$, a matrix pair $(E,A)$ is called $Ω$-admissible if it is regular, impulse-free and its eigenvalues lie inside the region $Ω$. In this paper, we provide a dissipative Hamiltonian characterization for the matrix pairs that are $Ω$-admissible where $Ω$ is an LMI region. We then use...","url_abs":"https://arxiv.org/abs/2511.03265","url_pdf":"https://arxiv.org/pdf/2511.03265v1","authors":"[\"Vaishali Aggarwal\",\"Nicolas Gillis\",\"Punit Sharma\"]","published":"2025-11-05T07:57:42Z","proceeding":"math.NA","tasks":"[\"math.NA\",\"eess.SY\",\"math.OC\"]","methods":"[]","has_code":false}