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dc.contributor.authorPuerta Coll, Xavier
dc.contributor.authorPuerta Sales, Ferran
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2010-07-21T11:28:01Z
dc.date.available2010-07-21T11:28:01Z
dc.date.created2010
dc.date.issued2010
dc.identifier.citationPuerta, F.; Puerta, F. On the perturbation of bimodal systems. A: Meeting on Linear Algebra Matrix Analysis and Applications. "2nd Meeting on Linear Algebra Matrix analysis and applications". València: Servicio de publicaciones de la UPV, 2010, p. 1-5.
dc.identifier.isbn978-84-8363-544-5
dc.identifier.urihttp://hdl.handle.net/2117/8311
dc.description.abstractGiven a bimodal system de¯ned by the equations ½ x_ (t) = A1x(t) + Bu(t) if ctx(t) · 0 x_ (t) = A2x(t) + Bu(t) if ctx(t) ¸ 0 (1) where B 2Mn;m and Ai 2Mn, i = 1; 2, are such that A1;A2 coincide on the hyper- plane V =Kerct. We consider in the set of matrices de¯ning the above systems the simultaneous feedback equivalence de¯ned by ([A1;B]; [A2;B]) » ([A0 1;B0]; [A0 2;B0]) if [A0 i B0] = S¡1[Ai B] · S 0 R T ¸ i = 1; 2 with S(V) = V This equivalent relation corresponds to the action of a Lie group. Under this action we obtain, in the case m · 1, the semiuniversal deformation, following Arnold's technique. Then the problem of structural stability is studied.
dc.format.extent5 p.
dc.language.isoeng
dc.publisherServicio de publicaciones de la UPV
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.titleOn the perturbation of bimodal systems
dc.typeConference lecture
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.identifier.dlV-1996-2010
dc.rights.accessOpen Access
local.identifier.drac2588435
dc.description.versionPostprint (published version)
local.citation.authorPuerta, F.; Puerta, F.
local.citation.contributorMeeting on Linear Algebra Matrix Analysis and Applications
local.citation.pubplaceValència
local.citation.publicationName2nd Meeting on Linear Algebra Matrix analysis and applications
local.citation.startingPage1
local.citation.endingPage5


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