Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Aggarwal, Vaishali, Gillis, Nicolas, Sharma, Punit
Institutions: Indian Institute of Technology Delhi, University of Mons
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416019580
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