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Title:	An alternative collection of structural invariants for matrix pencils under strict equivalence
Author:	Díaz, Adolfo; García Planas, María Isabel
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
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.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Multilinear algebra -Algebras, Linear -System theory. -Àlgebra lineal -Àlgebra multilineal -Classificació AMS::15 Linear and multilinear algebra; matrix theory -Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Article
Published by:	WSEAS Press. World Scientific and Engineering Academy and Society
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