An extended version of Schur-Cohn-Fujiwara theorem in stability theory

DOI10.1007/S11464-015-0453-3zbMath1321.12002OpenAlexW2011696148MaRDI QIDQ493369

Xu-Zhou Zhan, Gong-Ning Chen, Yong-jian Hu

Publication date: 3 September 2015

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-015-0453-3

zbMATH Keywords

Bezout matrixinertia of matrixinertia of polynomialSchur-Cohn matrixSchur-Cohn-Fujiwara theorem

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

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• Algebraic methods for Toeplitz-like matrices and operators
• Loewner and Bézout matrices
• Note on products of Bezoutians and Hankel matrices
• Structured Matrices, Continued Fractions, and Root Localization of Polynomials
• Locations of Roots of Polynomials
• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations

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