Alternate Event-Triggered Intermittent Control for Exponential Synchronization of Multi-Weighted Complex Networks

In this paper, the exponential synchronization problem for multi-weighted complex networks via alternate event-triggered aperiodically intermittent control (AETAIC) is considered. Different from existing literature, the proposed AETAIC is triggered alternatively by two pre-defined conditions. In contrast to the conventional event-triggered control, the event-triggered conditions of AETAIC can not only judge the updates of control signals, but also dominate the actuation and close of the control. Through graph theory and Lyapunov method, several sufficient conditions are given to ensure exponential synchronization of the studied networks. Moreover, a positive lower bound of the inter-execution is obtained, such that Zeno behavior can be excluded. Finally, in order to illustrate the theoretical results, two practical applications about Chua’s circuits and coupled oscillators are presented. Meanwhile, numerical simulations are provided to validate the effectiveness of the results.