(1) Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Florence, Italy, IT
Abstract:
We introduce a novel control method for a delayed dynamical system exhibiting high-dimensional chaos. The control is based
on a negative feedback loop with an adaptive filtering, consisting of a selective filter, centered at the frequency of the
orbit to be stabilized, with the addition of a time derivative correction. The validity of the method is also discussed in
the framework of a space-like representation adopted to study the analogies between delayed dynamical systems and spatially
extended systems.
Received: 12 April 1999