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Estimating distances from quadruples satisfying stability properties to quadruples not satisfying them
| dc.contributor.author | Clotet Juan, Josep |
| dc.contributor.author | García Planas, María Isabel |
| dc.contributor.author | Magret Planas, Maria dels Dolors |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.date.accessioned | 2007-05-24T15:24:48Z |
| dc.date.available | 2007-05-24T15:24:48Z |
| dc.date.created | 2000 |
| dc.date.issued | 2000 |
| dc.identifier.uri | http://hdl.handle.net/2117/1035 |
| dc.description.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. |
| dc.format.extent | 23 |
| 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 | Differential equations |
| dc.subject.lcsh | System theory |
| dc.subject.other | Time-invariant (generalized) linear dynamical systems |
| dc.subject.other | structural stability |
| dc.subject.other | controllability |
| dc.subject.other | observability |
| dc.subject.other | upper and lower bounds |
| dc.title | Estimating distances from quadruples satisfying stability properties to quadruples not satisfying them |
| dc.type | Article |
| dc.subject.lemac | Equacions diferencials ordinàries |
| 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::34 Ordinary differential equations::34A General theory |
| dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34D Stability 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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