Novel design for bifurcation control in a delayed fractional dual congestion model

Publication date: Available online 20 November 2018Source: Physics Letters AAuthor(s): Chengdai Huang, Tongxing Li, Liming Cai, Jinde CaoAbstractThis letter puts forward an ingenious feedback control method with parametric delay to manipulate bifurcation control for a delayed fractional dual congestion model. By employing time delay as a bifurcation parameter, the local dynamics involving stability and Hopf bifurcation is examined. The control efforts are realized with or without time delay in the strength of feedback control. It suggests that the stability performance is consumedly elevated by exploiting the parametric delay feedback controller, yet Hopf bifurcation engenders ahead of time in the event of the absence the controller. Moreover, the impact of the order or linear feedback gain on the bifurcation point is numerically discussed via aborative calculation. Numerical simulations are eventually utilized to corroborate the proposed scheme.

Source: Physics Letters A - November 21, 2018 Category: Physics Source Type: research