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Structured Backward Errors for Eigenvalues of Linear Port-Hamiltonian Descriptor Systems

When computing the eigenstructure of matrix pencils associated with the passivity analysis of perturbed port-Hamiltonian descriptor system using a structured generalized eigenvalue method, one should make sure that the computed spectrum satisfies the symmetries that corresponds to this structure and the underlying physical system. We perform a backward error analysis and show that for matrix pencils associated with port-Hamiltonian descriptor systems and a given computed eigenstructure with the correct symmetry structure there always exists a nearby port-Hamiltonian descriptor system with exactly that eigenstructure. We also derive bounds for how near this system is and show that the stability radius of the system plays a role in that bound.


Read More: https://epubs.siam.org/doi/abs/10.1137/20M1344184

Ketersediaan

Informasi Detail

Judul Seri

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS; Vol.42 No.1 January-March 2021

No. Panggil

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Penerbit

: .,

Deskripsi Fisik

p. 1 - 16

Bahasa

English

ISBN/ISSN

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Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

-

Edisi

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Subjek

EIGENVALUES
BACKWARD ERRORS
PORT-HAMILTONIAN

Info Detail Spesifik

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Pernyataan Tanggungjawab

Volker Mehrmann, Paul Van Dooren

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