Fixed-Time Synchronization in the p th Moment for Time-Varying Delay Stochastic Multilayer Networks
Yuhua Xu, Xiaoqun Wu, Bing Mao, Jinhu Lü, Chengrong Xie · IEEE Transactions on Systems Man and Cybernetics Systems · 2020
Since the speed that the$p$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$p$th moment of complex networks has been widely concerned. This article studies fixed-time synchronization in the$p$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$p$th moment is given, and the designed controllers are continuous function. Finally, the effectiveness of the method is verified by numerical simulations.