Stability criteria of matrix polynomials

DOI10.1080/00207179.2018.1467045zbMath1425.93251OpenAlexW2799591540MaRDI QIDQ5240691

Guang-Da Hu, Xiulin Hu

Publication date: 29 October 2019

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2018.1467045

zbMATH Keywords

stabilityspectral radiusmatrix polynomialsmatrix normbounds of eigenvalues

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Stability of control systems (93D99)

Related Items (4)

Sparse feedback stabilization in high‐order linear systems ⋮ On generalization of classical Hurwitz stability criteria for matrix polynomials ⋮ Stability criteria of high-order delay differential systems ⋮ On the relation between Hurwitz stability of matrix polynomials and matrix-valued Stieltjes functions

Cites Work

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• Bounds for eigenvalues of matrix polynomials
• Delay-dependent stability of numerical methods for delay differential systems of neutral type
• Stabilisation of matrix polynomials
• Spectrum localization of regular matrix polynomials and functions
• D-stability of polynomial matrices
• Stability of matrix polynomials†
• Resultant properties of gcd of many polynomials and a factorization representation of gcd

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