Transformations of solvents and spectral factors of matrix polynomials, and their applications†

DOI10.1080/00207178108922562zbMath0482.93026OpenAlexW1995192078MaRDI QIDQ3941260

Yih T. Tsay, Leang San Shieh

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00207178108922562

zbMATH Keywords

solventsspectral factorshigh-degree matrix polynomial

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear systems in control theory (93C05) Transformations (93B17) Algebraic methods (93B25) Model systems in control theory (93C99)

Related Items (5)

Block power method for computing solvent and spectral factors of matrix polynomials ⋮ Partial fraction expansions for transfer matrices and matrix fraction descriptions of multivariable systems ⋮ A computer-aided method for solvents and spectral factors of matrix polynomials ⋮ Block modal control via cascade multivariable control structures ⋮ Irreducible divisors of A-matrices and their applications to multivariable control systems

Cites Work

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• Matrix polynomials, roots and spectral factors
• Asymptotic Stability of Systems: Results Involving the System Topology
• A computer-aided method for the factorization of matrix polynomials†
• Blockmatrizen und lineare Matrizengleichungen
• The Algebraic Theory of Matrix Polynomials
• Stability of matrix polynomials†
• A matrix in the block Schwarz form and the stability of matrix polynomials
• Some Sufficient and Some Necessary Conditions for the Stability of Multivariable Systems
• The latent roots of a matrix of special type

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