Estimating distances from quadruples satisfying stability properties to quadruples not satisfying them

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Title:	Estimating distances from quadruples satisfying stability properties to quadruples not satisfying them
Author:	Clotet Juan, Josep; García Planas, María Isabel; Magret Planas, Maria dels Dolors
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) defining generalized linear multivariable time-invariant dynamical systems, with E,A square matrices and B, C rectangular matrices. Using geometrical techniques we present upper bounds and lower bounds for the distances between a quadruple and the nearest structurally unstable, uncontrollable and/or unobservable one, in terms of the singular values of matrices associated to the quadruple.
Subject(s):	-Differential equations -System theory -Time-invariant (generalized) linear dynamical systems -structural stability -controllability -observability -upper and lower bounds -Equacions diferencials ordinàries -Sistemes, Teoria de -Classificació AMS::34 Ordinary differential equations::34A General theory -Classificació AMS::34 Ordinary differential equations::34D Stability theory -Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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