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Miniversal deformations of bilinear systems
dc.contributor.author | García Planas, María Isabel |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2013-11-26T08:46:51Z |
dc.date.available | 2013-11-26T08:46:51Z |
dc.date.created | 2013 |
dc.date.issued | 2013 |
dc.identifier.citation | Garcia-Planas, M.I. Miniversal deformations of bilinear systems. "Cybernetics and physics", 2013, vol. 2, núm. 2, p. 84-89. |
dc.identifier.issn | 2226-4116 |
dc.identifier.uri | http://hdl.handle.net/2117/20770 |
dc.description.abstract | Bilinear systems under output injection equivalence are considered. The aim of this paper is to study what happens when a slight perturbation affects the coeffi- cients of the matrices defining a bilinear equation in C n . For this goal we will use the Arnold’s techniques, that is to say we will construct a versal deformation of a differentiable family of bilinear systems which are the orthogonal linear varieties to the orbits of output injec- tion equivalent bilinear systems. Versal deformations provide a special parametrization of bilinear systems space, which can be applied to perturbation analysis and investigation of complicated objects like singular- ities and bifurcations in multi-parameter bilinear sys- tems |
dc.format.extent | 6 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.title | Miniversal deformations of bilinear systems |
dc.type | Article |
dc.subject.lemac | Matrius (Matemàtica) |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.relation.publisherversion | http://cap.physcon.ru/ |
dc.rights.access | Open Access |
local.identifier.drac | 12907219 |
dc.description.version | Postprint (published version) |
local.citation.author | Garcia-Planas, M.I. |
local.citation.publicationName | Cybernetics and physics |
local.citation.volume | 2 |
local.citation.number | 2 |
local.citation.startingPage | 84 |
local.citation.endingPage | 89 |
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