Abstract: In this paper the approach based on the exact linearization via feedback is used for controlling Rssler hyperchaos. A controller for hyperchaos Rssler is designed by using the approach. The method is used to realize global stabilization and to control hyperchaotic motion not only to any unstable equilibrium point but also to any desired periodic orbit. Simulation results presented here prove the feasibility of the method, and its robustness is analyzed numerically.