An alternative collection of structural invariants for matrix pencils under strict equivalence

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Díaz, Adolfo
dc.contributor.author	García Planas, María Isabel
dc.date	2009
dc.identifier.citation	Diaz, A.; Garcia-Planas, M.I. An alternative collection of structural invariants for matrix pencils under strict equivalence. "Wseas Transactions on Systems and Control", 2009, vol. 4, núm. 10, p. 487-496.
dc.identifier.citation	1991-8763
dc.identifier.uri	http://hdl.handle.net/2117/11080
dc.language.iso	eng
dc.publisher	WSEAS Press. World Scientific and Engineering Academy and Society
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Multilinear algebra
dc.subject	Algebras, Linear
dc.subject	System theory.
dc.subject	Àlgebra lineal
dc.subject	Àlgebra multilineal
dc.subject	Classificació AMS::15 Linear and multilinear algebra; matrix theory
dc.subject	Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
dc.title	An alternative collection of structural invariants for matrix pencils under strict equivalence
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We consider pairs of matrices (E;A), representing singular linear time invariant sys- tems in the form Ex_ (t) = Ax with E;A 2 Mp£n(C) under restricted equivalence. In this paper we obtain an alternative collection of invariants that they permit us to deduce the Kronecker canonical reduced form. As application we obtain a reduced form form systems under proportional and derivative feedback as well proportional and derivative output injection.

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