Impulsive control for stabilization and synchronization of the Rössler systems

摘要

In this paper, several theorems on the stability of impulsive control systems are presented. These theorems are then used to find the conditions under which the Rössler systems can be asymptotically controlled to the equilibrium point by using impulsive control. Given the parameters of the Rössler system and the impulsive control law, an estimation of the upper bound of the impulse interval is given. We also present a theory of impulsive synchronization of two R̈ssler systems. Moreover, a larger upper bound of impulsive intervals for the stabilization and synchronization can be obtained.