Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method

Abstract EN

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.