TITLE
Global reduction to the Kronecker canonical form of a
$C^r$-family of time-invariant linear systems

AUTHORS:
X.Puerta -- F.Puerta -- J.Ferrer
Departament de Matem\`{a}tica Aplicada I
Diagonal 647 -08028 Barcelona- Spain
coll@ma1.upc.es -- puerta@ma1.upc.es -- ferrer@ma1.upc.es

ABSTRACT:

We present a geometric approach to the study of time-invariant
systems,
represented by quadruples of matrices $(A, B, C, D)$. Our main goal is, given a
differentiable family of such quadruples having constant Kronecker type, the
obtention of a differentiable family of nonsingular matrices such that it pointwise
reduces each quadruple to its Kronecker reduced form. The key point is a
geometrical construction of Kronecker reducing bases.