Infinite elementary divisors of a matrix polynomial and implications

DOI10.1080/00207178808905995zbMath0661.93016OpenAlexW2005883575MaRDI QIDQ3812098

Paul Fretwell, A. C. Pugh, G. E. Hayton

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00207178808905995

zbMATH Keywords

matrix pencilinfinite elementary divisorsfull equivalenceinfinite pole/zero structure

Mathematics Subject Classification ID

Factorization of matrices (15A23) Algebraic methods (93B25) Canonical forms, reductions, classification (15A21)

Related Items (16)

On coprime rational function matrices ⋮ On matrix polynomials with the same finite and infinite elementary divisors ⋮ Equivalence transformations of rational matrices and applications ⋮ Infinite frequency structure-preserving transformations for general polynomial system matrices ⋮ Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations ⋮ Fiedler companion linearizations for rectangular matrix polynomials ⋮ Unnamed Item ⋮ Closed form solution for the equations of motion for constrained linear mechanical systems and generalizations: an algebraic approach ⋮ On generalized inverses of singular matrix pencils ⋮ A new notion of equivalence for discrete time AR representations ⋮ Construction of algebraic and difference equations with a prescribed solution space ⋮ Infinite gain loop and simulation of singular systems ⋮ Unnamed Item ⋮ On the computation of the Jordan canonical form of regular matrix polynomials ⋮ Infinite-frequency structure and a certain matrix Laurent expansion ⋮ Spectral structures of the generalized companion form and applications

Cites Work

• Unnamed Item
• On the zeros and poles of a rational matrix
• Relations between strict equivalence invariants and structure at infinity of matrix pencils
• Realizations in generalized state-space form for polynomial system matrices and the definitions of poles, zeros and decoupling zeros at infinity†
• Matrix fractions and strict system equivalence
• On a new definition of strict system equivalence
• Correspondence : Correction to ‘The zeros of a system’

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