Stochastic stabilization of complex networks with randomly topological structure
Tingting Yan, Guoliang Wang, Bo Feng, Hongyang Cai · 2016
In this paper, the stabilization problem of complex networks is realized by a stochastically stabilizing controller, where the desired controller is added in terms of Brownian noise perturbation. Compared with the traditional methods on stabilizing controller, the stabilization scheme named to be stochastic pinning control in this paper is closely related to the Bernoulli variable and is only in the diffusion part. Moreover, the topological structure of the presented stochastic pinning controller is not constant but in terms of coupling matrix changing randomly, which is handled by the robust method. It is shown that the probability in addition to the switching between such different topological structures both play important roles in stochastic stabilization. Based on the obtained result, a more general case that the expectation of the Bernoulli variable having uncertainty is considered too. Finally, the correctness and effectiveness of the research results are verified by a numerical simulation.