Stability analysis and Hopf bifurcation control of a fractional-order small world network model based on pd controller
Mengxi Wang, Wei Hu, Rui Sun, Dawei Ding · 2016 IEEE Information Technology, Networking, Electronic and Automation Control Conference · 2016
In this paper, we analyze the stability of a fractional-order small world network with time delay, and discuss condition of the existence of Hopf bifurcation of this system. A Proportional-Derivative (PD) controller is applied to control the onset of the bifurcation. By means of PD controller, we found that Hopf bifurcation can be controlled by adjusting control parameters of PD controller appropriately. Numerical simulation results verify that the control strategy of PD controller is efficient to control the Hopf bifurcation in fractional-order small world model.