Following Arnold’s techniques, we obtain a local canonical form of a holomorphic
family of pairs of matrices ( A( A), B(h)) ac t e d on by the state feedback group. We
obtain an explicit formula to compute the dimension of the base space of any
miniversal deformation of ( A(O), B(O)). W e m ak e some applications to local perturbations
of a pair of matrices.
Ferrer, J.; Garcia-Planas, M.I.; Puerta, F. Brunovsky local form of a holomorphic family of pair of matrices. "Linear algebra and its applications", 1997, vol. 253, núm. 1-3, p. 175-198.