Transformations of matrix pencils and implications in linear systems theory

DOI10.1080/00207178708933749zbMath0623.93013OpenAlexW1977164729MaRDI QIDQ3762139

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

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708933749

zbMATH Keywords

dynamic invariantscomplete equivalencegeneralized state-space system-matrix transformationmatrix-pencil transformationstrong equivalence transformation

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Transformations (93B17) Algebraic methods (93B25) Algebraic systems of matrices (15A30)

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A canonical parametrization of the Kronecker form of a matrix pencil ⋮ Linearization of bivariate polynomial matrices expressed in non monomial basis ⋮ Infinite frequency structure-preserving transformations for general polynomial system matrices ⋮ Some results on system equivalence ⋮ Minimality of descriptor representations under external equivalence ⋮ A Jordan control canonical form for singular systems ⋮ A new notion of equivalence for discrete time AR representations ⋮ Unnamed Item ⋮ Restricted invariant factor assignment under state-feedback

Cites Work

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