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Orbits of controllable and observable systems
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 | 2007-05-28T16:16:23Z |
dc.date.available | 2007-05-28T16:16:23Z |
dc.date.created | 1999 |
dc.date.issued | 1999 |
dc.identifier.uri | http://hdl.handle.net/2117/1049 |
dc.description.abstract | Let a time-invariant linear system $\left .\aligned \dot x(t)&=Ax(t)+Bu(t)\\y(t)&=Cx(t)\endaligned \right \}$ corresponding to a realization of a prescribed transfer function matrix can be represented by triples of matrices $(A,B,C)$. The permitted transformations of basis changes in the space state on the systems can be seen in the space of triples of matrices as similarity equivalence. In this paper we give a geometric characteriaztion of controllable and observable systems as orbits under a Lie group action. As a corollary we obtain a lower bound of the distance between a controllable and observable triple and the nearest uncontrollable one. |
dc.format.extent | 9 |
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 | System theory |
dc.subject.lcsh | Algebras, Linear |
dc.subject.lcsh | Multilinear algebra |
dc.subject.lcsh | Matrices |
dc.subject.other | Controllability |
dc.subject.other | Observability |
dc.subject.other | Lie group action |
dc.subject.other | Orbits |
dc.title | Orbits of controllable and observable systems |
dc.type | Article |
dc.subject.lemac | Sistemes, Teoria de |
dc.subject.lemac | Àlgebra lineal |
dc.subject.lemac | Àlgebra multilineal |
dc.subject.lemac | Matriu S, Teoria |
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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