Abstract
In this paper, the mean-square synchronization problem is considered for the fractional-order stochastic complex network (FOSCN) via pinning control. Firstly, suppose that the dynamics of the node are modeled by continuous-time nonlinear fractional stochastic differential equations (FSDEs). Next, the pinning nodes are selected according to the low-dimensional pinning criteria. Furthermore, the controller is designed for each pinning node, and a set of sufficient conditions are given to guarantee the mean-square synchronization. Then, the convergence analysis of the closed-loop system is finished by directly utilizing the properties of the integral solution. It proved that the mean-square synchronization of FOSCN can be achieved with the designed controller under some conditions. In addition, the synchronization problem of general fractional-order complex networks (FOCN) without stochastic noise is solved by using a similar method. Finally, compared simulation examples are performed to demonstrate the effectiveness of the proposed methods.
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