A Schur-Cohn theorem for matrix polynomials

DOI10.1017/S0013091500004806zbMath0727.15009OpenAlexW1975555074MaRDI QIDQ3349041

N. J. Young, Harry Dym

Publication date: 1990

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500004806

zbMATH Keywords

algorithmstabilitylinear systemsKrein spacereproducing kernelmatrix polynomialsinner functionnumber of zeroesSchur-Cohn theoremnumber of positive eigenvaluesmeromorphic matrix-function

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22)

Related Items (5)

Bezout operators for analytic operator functions. I: A general concept of Bezout operator ⋮ On a new class of realization formulas and their application ⋮ On stabilisability of 2-D MIMO shift-invariant systems ⋮ Factorization and the Schur-Cohn matrix of a matrix polynomial ⋮ Zero distribution of matrix polynomials

Cites Work

• The Bezoutian and the eigenvalue-separation problem for matrix polynomials
• Generalized Bezoutian and Sylvester matrices in multivariable linear control
• Input–Output Description of Roomy Systems
• On the Corona Theorem and its Application to Spectral Problems in Hilbert Space

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