Impulsive control of Rossler systems

In this Letter, several new theorems on the stability of impulsive control systems are presented. These theorems are then used to find the conditions under which the Rossler systems can be asymptotically controlled to the equilibrium point by using impulsive control. Given the parameters of the Rossler system and the impulsive control law. We also present a theory of impulsive synchronization of two Rossler systems. Moreover, a larger upper bound of impulsive intervals for the stabilization and synchronization can be obtained. (C) 2002 Elsevier Science B.V. All rights reserved.