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- W3182058765 abstract "Abstract In this article, we find necessary and sufficient conditions to identify pairs of matrices X and Y for which there exists such that is positive semidefinite and . Such a is called a dissipative mapping taking X to Y . We also provide two different characterizations for the set of all dissipative mappings, and use them to characterize the unique dissipative mapping with minimal Frobenius norm. The minimal‐norm dissipative mapping is then used to determine the distance to asymptotic instability for dissipative‐Hamiltonian systems under general structure‐preserving perturbations. We illustrate our results over some numerical examples and compare them with those of Mehl, Mehrmann, and Sharma (Stability radii for linear Hamiltonian systems with dissipation under structure‐preserving perturbations, SIAM J Matrix Anal Appl , 37(4):1625–54, 2016)." @default.
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- W3182058765 date "2021-07-14" @default.
- W3182058765 modified "2023-09-25" @default.
- W3182058765 title "Characterization of the dissipative mappings and their application to perturbations of dissipative‐Hamiltonian systems" @default.
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- W3182058765 doi "https://doi.org/10.1002/nla.2402" @default.
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