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Bounding the distance of a controllable and observable system to an uncontrollable or unobservable one
dc.contributor.author | Clotet Juan, Josep |
dc.contributor.author | García Planas, María Isabel |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-05-28T16:08:43Z |
dc.date.available | 2007-05-28T16:08:43Z |
dc.date.created | 1999 |
dc.date.issued | 1999 |
dc.identifier.uri | http://hdl.handle.net/2117/1048 |
dc.description.abstract | 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. |
dc.format.extent | 11 |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Algebras, Linear |
dc.subject.lcsh | Multilinear algebra |
dc.subject.lcsh | Matrices |
dc.subject.lcsh | System theory |
dc.subject.other | Linear Systems |
dc.subject.other | Controllability measure |
dc.subject.other | Observability measure |
dc.subject.other | Distance to uncontrollable and unobservable |
dc.title | Bounding the distance of a controllable and observable system to an uncontrollable or unobservable one |
dc.type | Article |
dc.subject.lemac | Àlgebra lineal |
dc.subject.lemac | Àlgebra multilineal |
dc.subject.lemac | Matriu S, Teoria |
dc.subject.lemac | Sistemes, Teoria de |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::15 Linear and multilinear algebra; matrix theory |
dc.subject.ams | Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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