Hermitian polynomial matrices, isometries and inertial signs

DOI10.1016/S0167-6911(83)80007-3zbMath0514.15015OpenAlexW2035929035MaRDI QIDQ1051064

Harald K. Wimmer

Publication date: 1983

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(83)80007-3

zbMATH Keywords

inner product spacesisometriesHermitian pencilsHermitian polynomial matricesHermitian realizationsinertial signslinear electrical networkspolynomial matrices with constant signaturepolynomial matrix structure

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Quadratic and bilinear forms, inner products (15A63) Matrices over function rings in one or more variables (15A54)

Related Items (1)

On Hamiltonian rational transfer functions

Cites Work

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• On symmetric rational transfer functions
• Realization of systems with internal passivity and symmetry constraints
• The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil
• Indefinite inner-product spaces associated with Hermitian polynomial matrices
• The structure of nonsingular polynomial matrices
• Factorization of selfadjoint matrix polynomials with constant signature

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