Spectral structures of the generalized companion form and applications

DOI10.1016/S0167-6911(02)00107-XzbMath0994.93017OpenAlexW2170148247MaRDI QIDQ1603795

A. C. Pugh, Liansheng Tan

Publication date: 15 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(02)00107-x

zbMATH Keywords

linearizationregular polynomial matrixWeierstrass canonical formpolynomial matrix descriptiongeneralized companion forminfinite frequency structureresolvent decomposition

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Linearizations (93B18) Canonical structure (93B10) Canonical forms, reductions, classification (15A21)

Related Items (1)

On the computation of the Jordan canonical form of regular matrix polynomials

Cites Work

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• The computation of Kronecker's canonical form of a singular pencil
• Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations
• On the solutions of linear differential equations with singular coefficients
• Computation of structural invariants of generalized state-space systems
• Infinite elementary divisors of a matrix polynomial and implications
• Solvability, controllability, and observability of continuous descriptor systems
• A closed formula for the determination of the impulsive solutions of linear homogeneous matrix differential equations
• Input-output structure of linear differential/algebraic systems
• Realization by inspection
• A note on the solution of regular PMDs
• A generalized chain-scattering representation and its algebraic system properties

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