Arnold [VI Arnold, On matrices depending on parameters, Russian Math. Surveys 26
(2)(1971) 29–43] constructed miniversal deformations of square complex matrices under …

Abstract Arnold (1971)[1] constructed a miniversal deformation of a square complex matrix
under similarity; that is, a simple normal form to which not only a given square matrix A but …

We give new proofs of several known results about perturbations of matrix pencils. In
particular, we give a direct and constructive proof of Andrzej Pokrzywa's theorem (1983), in …

Using a unifying terminology and notation an introduction to the theory of stratification for
orbits and bundles of matrices, matrix pencils and system pencils with applications in …

Linear multi-input dynamical systems smoothly depending on parameters are considered. A
set of parameter values corresponding to uncontrollable systems (an uncontrollability set) is …

VI Arnold (1971) constructed a simple normal form to which all complex matrices B in a
neighborhood U of a given square matrix A can be reduced by similarity transformations that …

Following VI Arnolds techniques, we construct a local canonical form called miniversal
deformation, for a family of differentiable regularizable linear dynamical systems Eẋ (t)= Ax …

Using a unifying terminology and notation an introduction to the theory of stratification for
orbits and bundles of matrices, matrix pencils and system pencils with applications in …

Our purpose is to give new proofs of several known results about perturbations of matrix
pencils. Andrzej Pokrzywa (1986) described the closure of orbit of a Kronecker canonical …

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 …