Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event‐Triggered Control: The Threshold Function Method
Fei Wang, Zhaowen Zheng, Yongqing Yang · Complexity · 2019
This paper investigates the synchronization of general complex dynamical networks (CDNs) with both internal delay and transmission delay. Event‐triggered mechanism is applied for the feedback controllers, in which the triggered function is formed as a nonincreasing function. Both continuous feedback and sampled‐data feedback methods are studied. According to Lyapunov stability theorem and generalized Halanay’s inequality, quasi‐synchronization criteria are derived at first. The synchronization error is bounded with some parameters of the triggered function. Then, the completed synchronization can be guaranteed as a special case. Finally, coupled neural networks as numerical simulation examples are given to verify the theoretical results.