Versal deformations of bilinear systems under output-injection equivalence
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hdl:2117/21507
Tipus de documentText en actes de congrés
Data publicació2013
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
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
CitacióGarcia-Planas, M.I. Versal deformations of bilinear systems under output-injection equivalence. A: International Scientific Conference on Physics and Control. "Conference Proceedings 6th International Conference on Physics and Control". San Luis de Potosí: 2013.
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PHYSCON13_0001_TUPM1.pdf | article | 258,0Kb | Visualitza/Obre |