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 Títol: Bounding the distance of a controllable and observable system to an uncontrollable or unobservable one Autor: Clotet Juan, Josep ; García Planas, María Isabel Data: 1999 Tipus de document: Article Resum: Let $(A,B,C)$ be a triple of matrices representing a time-invariant linear system \left .\aligned \dot x(t)&=Ax(t)+Bu(t)\\y(t)&=Cx(t)\endaligned \right \} under similarity equivalence, corresponding to a realization of a prescribed transfer function matrix. In this paper we measure the distance between a irreducible realization, that is to say a controllable and observable triple of matrices $(A,B,C)$ and the nearest reducible one that is to say uncontrollable or unobservable one. Different upper bounds are obtained in terms of singular values of the controllability matrix $C(A,B,C)$, observability matrix $O(A,B,C)$ and controllability and observability matrix $CO(A,B,C)$ associated to the triple. URI: http://hdl.handle.net/2117/1048 Apareix a les col·leccions: EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions. Articles de revistaDepartaments de Matemàtica Aplicada. Articles de revista Comparteix: