Chaos control for the family of Rössler systems using feedback controllers

This paper presents a new method for controlling chaos in several classical chaotic Rössler systems using feedback control strategy. In particular, for an arbitrarily given equilibrium point of a Rössler system, we design explicit and simple feedback control laws by which the equilibrium point is globally and exponentially stabilized. Six typical Rössler systems are studied, and explicit formulas are derived for estimating the convergence rate of these systems. Numerical examples are presented to illustrate the theoretical results. A mistake has been found in the existing literature, and a correct result is given.