On the blowing-up of stably free behaviours
Proceedings of the
44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, Seville, Spain
[.pdf]
Abstract:
It is well-known that a time-varying controllable ordinary differential
linear system is flat outside some singularities.
In this paper, we prove that every time-varying controllable
linear system is a projection of a flat system. We
give an explicit description of a flat system which projects onto a
given controllable one. This phenomenon is similar to a
classical one largely studied in algebraic geometry and called the
blowing-up of a singularity.
These results simplify the ones obtained in