Aperiodically Intermittent Pinning Event-Triggered Synchronization of Stochastic Heterogeneous Complex Networks

This paper focuses on the quasi-synchronization of stochastic heterogeneous complex networks (SHCNs), in which aperiodically intermittent pinning event-triggered control is implemented to a fraction of the network nodes. During control intervals, the control update sequence is determined through a periodic event-triggered mechanism (ETM), where the continuous monitoring can be avoided and the Zeno behavior can be eliminated. In contrast to intermittent control mentioned in existing literature, the minimum control rate condition, which imposes a constraint on the lower bound of the control rate for aperiodically intermittent pinning control, is eliminated. By means of a Halanay-like inequality, the maximum allowable bound of the sampling period is estimated for the periodic ETM. In addition, by designing an auxiliary timer and applying the Lyapunov method, sufficient conditions for quasi-synchronization of SHCNs are proposed. In the end, the theoretical result is applied to single-link robot arm systems and numerical simulations are provided to verify the feasibility and validity.