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Analysis of behavior of the eigenvalues and eigenvectors of singular linear systems
dc.contributor.author | García Planas, María Isabel |
dc.contributor.author | Tarragona Romero, Sonia |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2012-12-12T08:51:49Z |
dc.date.available | 2012-12-12T08:51:49Z |
dc.date.created | 2012 |
dc.date.issued | 2012 |
dc.identifier.citation | Garcia-Planas, M.I.; Tarragona, S. Analysis of behavior of the eigenvalues and eigenvectors of singular linear systems. "WSEAS transactions on mathematics", 2012, vol. 11, núm. 11, p. 957-965. |
dc.identifier.issn | 1109-2769 |
dc.identifier.uri | http://hdl.handle.net/2117/17107 |
dc.description.abstract | Let E(p)x˙ = A(p)x + B(p)u be a family of singular linear systems smoothly dependent on a vector of real parameters p = (p1, . . . , pn). In this work we construct versal deformations of the given differentiable family under an equivalence relation, providing a special parametrization of space of systems, which can be effectively applied to perturbation analysis. Furthermore in particular, we study the behavior of a simple eigenvalue of a singular linear system family E(p)x˙ = A(p)x + B(p)u. |
dc.format.extent | 9 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.subject.lcsh | Eigenvalues |
dc.subject.lcsh | Eigenvectors |
dc.title | Analysis of behavior of the eigenvalues and eigenvectors of singular linear systems |
dc.type | Article |
dc.subject.lemac | Sistemes dinàmics diferenciables |
dc.subject.lemac | Equacions diferencials lineals |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.rights.access | Open Access |
local.identifier.drac | 11128906 |
dc.description.version | Postprint (published version) |
local.citation.author | Garcia-Planas, M.I.; Tarragona, S. |
local.citation.publicationName | WSEAS transactions on mathematics |
local.citation.volume | 11 |
local.citation.number | 11 |
local.citation.startingPage | 957 |
local.citation.endingPage | 965 |
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