Fixed-time synchronization of hybrid coupled networks with time-varying delays

In this paper, we study the fixed-time synchronization of hybrid coupled networks, which have only one transmittal delay in the delayed coupling terms. The settling time of fixed-time synchronization can be adjusted to some desired values in advance regardless of the initial conditions. By constructing suitable Lyapunov functions and designing delay-dependent feedback controllers, we derive several novel synchronization criteria, which guarantee the considered hybrid coupled networks can achieve fixed-time synchronization. Two numerical examples are given to show the effectiveness of our results.