Relations between strict equivalence invariants and structure at infinity of matrix pencils

DOI10.1109/TAC.1983.1103254zbMath0519.93025OpenAlexW2013997050MaRDI QIDQ3670989

A. I. G. Vardulakis, Nicos Karcanias

Publication date: 1983

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1983.1103254

zbMATH Keywords

matrix pencilsstrict equivalencepoles and zeros at infinitySmith- Macmillan form at infinity

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical structure (93B10) Algebraic methods (93B25) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Integral domains (13G05) Canonical forms, reductions, classification (15A21)

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Structure control for the disturbance rejection in two electromechanical processes ⋮ Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations ⋮ Structural Methods for Linear Systems: An Introduction ⋮ Novel theory for polynomial and rational matrices at infinity. Part 2. Rational matrices ⋮ Infinite elementary divisors of a matrix polynomial and implications ⋮ On generalized inverses of singular matrix pencils ⋮ A new notion of equivalence for discrete time AR representations ⋮ Unnamed Item ⋮ Discretization of singular systems and error estimation ⋮ On the Realization Theory of Polynomial Matrices and the Algebraic Structure of Pure Generalized State Space Systems ⋮ Computation of the structural invariants of linear multivariable systems with an extended version of the program ZEROS ⋮ Pencils of complex and real symmetric and skew matrices

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