A canonical reduced form for singular time invariant linear systems

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Title:	A canonical reduced form for singular time invariant linear systems
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 quadruples of matrices (E; A;B;C), representing singular linear time invariant systems in the form Ex_ (t) = Ax + Bu y = Cx ¾ (1) with E;A 2 Mp£n(C), B 2 Mp£m(C) and C 2 Mq£n(C) under proportional and derivative feedback and proportional and derivative output injection. In this paper we present a canonical reduced form preserving the structure of the system and provides a decomposition of the system into two independent systems, one being a maximal regular system and the second one a minimal completely singular one.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Matrices -Singular Systems -equivalence relation -canonical form -Matrius (Matemàtica)
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Conference Object
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