Exponential synchronization of chaotic systems with stochastic noise via periodically intermittent control

摘要

The problem of second-moment exponential synchronization is discussed for chaotic systems. Different from some existing results, a unified drive-response system is formulated, which involves stochastic noise and the time-varying delay. Meanwhile, the feedback controller is presented by the periodically intermittent control. By exploiting the Lyapunov stability theory, the improved reciprocally convex inequality and the Ito formula, several new sufficient conditions are obtained to make two systems synchronized. In addition, the controller is determined by the control period and the control width. Finally, simulation results illustrate that the designed controller achieves the desired performance.