Equivalence of a matrix overR [s,z]with its Smith form

DOI10.1080/00207177808922487zbMath0394.93013OpenAlexW2018193583MaRDI QIDQ4177402

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Publication date: 1978

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

Full work available at URL: https://doi.org/10.1080/00207177808922487

zbMATH Keywords

Matrix AlgebraSystems TheoryBezout IdentityMatrices over the Ring R[s,z]Relative Primeness Of MatricesSmith FormTransformations of Equivalence

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic methods (93B25) Control problems for functional-differential equations (34K35) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (14)

Some further results concerning matrices with elements in a polynomial ring ⋮ The smith form of a multivariate polynomial matrix over an arbitrary coefficient field ⋮ New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices ⋮ The Smith normal form and reduction of weakly linear matrices ⋮ New results on the equivalence of bivariate polynomial matrices ⋮ Smith form of triangular multivariate polynomial matrix ⋮ Equivalence and reduction of bivariate polynomial matrices to their Smith forms ⋮ Serre's reduction of linear functional systems. ⋮ An approach based on matrix polynomials for linear systems of partial differential equations ⋮ Solutions of higher-order Riccati-type matrix equations ⋮ Transformations of strict system equivalence between polynomial system matrices over R[S,Z ] ⋮ Transformations of system similarity between state-space system matrices over R[s, z] ⋮ Another form of system matrix associated with delay-differential systems ⋮ The transmission zeros of systems with delays†

Cites Work

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