An alternative complete system of invariants for matrix pencils under strict equivalence

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Title:	An alternative complete system of invariants for matrix pencils under strict equivalence
Author:	García Planas, María Isabel; Díaz, Adolfo
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 triples of matrices (E; A;B), representing singular linear time invariant systems in the form Ex_ (t) = Ax(t) + Bu(t), with E;A 2 Mp£n(C) and B 2 Mn£m(C), un- der proportional and derivative feedback. Using geometrical techniques we obtain miniversal deformations that permit us to study sensivity and structural stability of singular systems.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Algebras, Linear -Multilinear algebra -Systems Theory -Àlgebra multilineal -Àlgebra lineal -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 Book Part
Published by:	WSEAS Press. World Scientific and Engineering Academy and Society
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