基于状态反馈控制的无线网络拥塞控制流体流模型的Hopf分岔

Hopf Bifurcation in a Fluid-Flow Model of Congestion Control in Wireless Networks with State Feedback Control

针对控制无线网络拥塞控制系统中流体流模型的Hopf分岔的问题,提出一种状态反馈控制器.通过选择通信时延作为分岔参数,验证模型在加入状态反馈控制器后,1增加了分岔参数的临界值,扩大了稳定性区域,使系统的Hopf分岔延迟;2通过选择合适的参数,可以容易地改变分岔周期解的稳定性及其分岔方向.理论分析和数据仿真验证了该方法能够有效地控制系统的Hopf分岔.

Controlling Hopf bifurcation in a fluid-flow model for congestion control in wireless networks, we propose a state feedback controller. Choosing communication delay as a bifurcation parameter, we proved that with the controller, one can change critical value of bifurcation and enlarge stable region. Hopf bifurcation of the system is delayed. Moreover, by choosing appropriate parameters, we change easily stability and direction of bifurcating periodic solutions. Theoretical analysis and numerical results verifies that the method controls Hopf bifurcation effectively.