In this paper, the response and bifurcation of fractional stochastic systems with timedelayed feedback control are investigated. We decompose the timedelayed items and apply the stochastic averaging method with the generalized harmonic functions to obtain the stationary response. The effectiveness of the method is verified by two different examples. The simulation results show that different system parameters can affect the response of the system, and it can induce the occurrence of stochastic bifurcation for some certain systems as well.
段婧,徐伟.时滞反馈力作用下含有分数阶阻尼的随机系统的响应与分叉研究[J].动力学与控制学报,2017,15(3):223~229; Duan Jing, Xu Wei. Response and bifurcation of fractional stochastic systems with timedelayed feedback control[J]. Journal of Dynamics and Control,2017,15(3):223-229.