Impulsive control and synchronization of Chua’s oscillators

Impulsive control of a chaotic system is ideal for designing digital control schemes where the control laws are generated by digital devices which are discrete in time. In this paper, several new theorems on the stability of impulsive control systems are presented. These theorems are then used to find the conditions under which the Chua’s oscillator can be asymptotically controlled to the origin by using impulsive control. Given the parameters of the Chua’s oscillator 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 Chua’s oscillators. A numerical example and simulation illustrates the effectiveness of the proposed result. Compared with the existing results, these results are less conservative.