Actuator saturating intermittent control for synchronization of stochastic multi-links network with sampled-data

Abstract

This article introduces a kind of aperiodically sampled-data intermittent control to investigate the synchronization issue of stochastic multi-links network. Therein, the sampling intervals are variable in the aperiodically intermittent control, while the actuator saturation is taken into consideration. Distinguish from previous control methods, by combining with the advantages of both the sampled-data and actuator saturating control and the aperiodically actuator saturating intermittent control, we design the sampled-data and actuator saturating intermittent control. Meanwhile, the aperiodically sampled-data intermittent control and the sampled-data and actuator saturating control are used to settle the synchronization problem of stochastic multi-links network. After that, some sufficient conditions are obtained based on Lyapunov method, some techniques of inequalities and a graph-theoretic approach. The control law is determined simultaneously, which depends on the coupling strength, the perturbed intensity of noise, the upper and lower bounds of sampling intervals, the lower bound of intermittent control intervals and the maximum rest time ratio. Then, our theoretical results are used in the synchronization issue of stochastic multi-links Chua’s circuits network. Ultimately, a numerical example is presented to illustrate the validity of the theoretical results.