On a new definition of strict system equivalence

DOI10.1080/00207177808922402zbMath0393.93010OpenAlexW2078839767MaRDI QIDQ4175097

A. C. Pugh, A. K. Shelton

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1080/00207177808922402

zbMATH Keywords

Transfer FunctionDecoupling ZerosSystem Equivalence

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Transformations (93B17) Algebraic methods (93B25)

Related Items (16)

On coprime rational function matrices ⋮ Linearization of bivariate polynomial matrices expressed in non monomial basis ⋮ On matrix polynomials with the same finite and infinite elementary divisors ⋮ Equivalence transformations of rational matrices and applications ⋮ System matrix characterization of input-output equivalence ⋮ Spectral filters connecting high order systems ⋮ Infinite frequency structure-preserving transformations for general polynomial system matrices ⋮ Necessary conditions for the general pole placement problem via constant output feedback ⋮ Transformations of matrix pencils and implications in linear systems theory ⋮ Spectral equivalence of matrix polynomials and the index sum theorem ⋮ Reachability, observability and strict equivalence of networks of linear systems ⋮ Infinite elementary divisors of a matrix polynomial and implications ⋮ A new notion of equivalence for discrete time AR representations ⋮ Infinite frequency interpretations of minimal bases ⋮ Matrix fractions and strict system equivalence ⋮ On conditions guaranteeing two rational matrices possess identical pole/zero structure

Cites Work

• On strict system equivalence and similarity†
• Notes on strict system equivalence
• The Generalized Resultant Matrix

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