Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations

DOI10.1007/BF01598420zbMath0678.34002MaRDI QIDQ1124015

A. I. G. Vardulakis, G. F. Fragulis

Publication date: 1989

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

polynomial matrixJordan chainsImpulsive solutions

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15) General theory for ordinary differential equations (34A99)

Related Items (8)

Reachability of polynomial matrix descriptions (PMDs) ⋮ Transformation of a PMD into an implicit system using minimal realizations of its transfer function matrix in terms of finite and infinite spectral data ⋮ Computation of the impulsive behavior of multivariable linear systems using a division algorithm ⋮ Regularity of distributional differential algebraic equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Spectral structures of the generalized companion form and applications

Cites Work

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• A generalized state-space for singular systems
• Relations between strict equivalence invariants and structure at infinity of matrix pencils
• Strong system equivalence (II)
• Infinite elementary divisors of a matrix polynomial and implications
• Structure and Smith-MacMillan form of a rational matrix at infinity
• The McMillan degree of a polynomial system matrix†
• Convolution Feedback Systems

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