Impulsive synchronous control of unified chaotic systems with variable delays

Abstract

The problem of impulsive synchronous control of unified chaotic systems with parameter uncertainty and variable delays is studied. On the case that the master system's delay is different from that of the slave system, sufficient conditions for their uniform asymptotical synchronization are developed by employing the Lyapunov stability theory and matrix inquality techniques, and the impulsive controllers with respect to delays and initial value of systems are designed. Finally, the validity of the obtained results is shown by a numerical example and its simulation.