Synchronization of Stochastic Multilayer Networks by Finite-Time Controller

It is well known that complex networks are inevitably affected by random disturbances. In the study of network stability, finite-time control has always been a research hot spot. This paper discuss synchronization (FTSY) stochastic multilayer (MLNs). First, novel stability (FTST) theorems deterministic dynamical system given, and expression finite time also estimated. Second, sufficient criteria obtained for FTSY MLNs. Compared with some existing results in MLNs, MLNs realized using FTST systems, relationship between intensity layers discussed under condition minimum convergence time, which will be meaningful to help how select appropriate actual control. Lastly, availability method checked numerical simulation base on theory proposed this paper.