Fixed-Time Synchronization in the p th Moment for Time-Varying Delay Stochastic Multilayer Networks

Since the speed that the [Formula Omitted]th moment of an output signal norm tends to 0 can be used to measure the quality of the output signal, the stability of the [Formula Omitted]th moment of complex networks has been widely concerned. This article studies fixed-time synchronization in the [Formula Omitted]th moment for time-varying delay stochastic multilayer networks, where fixed-time synchronization of multilayer networks is realized by using nonlinear feedback or delay feedback, and the concrete expression of fixed settling time is evaluated. Compared with some existing fixed-time control methods, the optimal combination relationship between the exponential power of fixed-time controllers and the [Formula Omitted]th moment is given, and the designed controllers are continuous function. Finally, the effectiveness of the method is verified by numerical simulations.