Stochastic complex networks synchronize to the limit set with adaptive controller and adaptive delay

This paper investigates the problem of two stochastic complex networks synchronize to the limit set with adaptive controller and adaptive delay, which are not fully considered in the existing research. A few articles on stability of stochastic complex networks with time-varying delay is discussed, but the time-varying delayed and its derivative are bounded on time t. In this paper, the time-varying delay is adaptive. Also, the coupling matrix with stochastic perturbation is also considered.