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On the perturbation of bimodal systems
dc.contributor.author | Puerta Coll, Xavier |
dc.contributor.author | Puerta Sales, Ferran |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2010-07-21T11:28:01Z |
dc.date.available | 2010-07-21T11:28:01Z |
dc.date.created | 2010 |
dc.date.issued | 2010 |
dc.identifier.citation | Puerta, 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.isbn | 978-84-8363-544-5 |
dc.identifier.uri | http://hdl.handle.net/2117/8311 |
dc.description.abstract | Given 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.extent | 5 p. |
dc.language.iso | eng |
dc.publisher | Servicio de publicaciones de la UPV |
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 | On the perturbation of bimodal systems |
dc.type | Conference lecture |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.identifier.dl | V-1996-2010 |
dc.rights.access | Open Access |
local.identifier.drac | 2588435 |
dc.description.version | Postprint (published version) |
local.citation.author | Puerta, F.; Puerta, F. |
local.citation.contributor | Meeting on Linear Algebra Matrix Analysis and Applications |
local.citation.pubplace | València |
local.citation.publicationName | 2nd Meeting on Linear Algebra Matrix analysis and applications |
local.citation.startingPage | 1 |
local.citation.endingPage | 5 |