The Control of a hyperchaotic discrete system is investigated, A time-varyi
ng feedback control law is established on the base of local linearization.
The Liapunov direct method is applied to estimate the neighborhood in which
the control law can be effectively used. Numerical examples are presented
to demonstrate the applications of the control law to solve the problem of
stabilizing unstable periodic orbits and the problem of tracking an arbitra
rily given periodic orbit.