Computing the nearest $Ω$-admissible descriptor dissipative Hamiltonian system
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912688288825344 |
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| author | Aggarwal, Vaishali Gillis, Nicolas Sharma, Punit |
| author_facet | Aggarwal, Vaishali Gillis, Nicolas Sharma, Punit |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03265 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Computing the nearest $Ω$-admissible descriptor dissipative Hamiltonian system Aggarwal, Vaishali Gillis, Nicolas Sharma, Punit Numerical Analysis Systems and Control Optimization and Control 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. |
| title | Computing the nearest $Ω$-admissible descriptor dissipative Hamiltonian system |
| topic | Numerical Analysis Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2511.03265 |