Hopf bifurcation control in a congestion control model via dynamic delayed feedback.
Hopf bifurcation control in a congestion control model via dynamic delayed feedback.
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DOI：
10.1063/1.2998220
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发表时间：
2008-10
期刊：
影响因子：
2.9
通讯作者：
Songtao Guo;G. Feng;X. Liao;Qun Liu
中科院分区：
文献类型：
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作者：
Songtao Guo;G. Feng;X. Liao;Qun Liu
分岔控制的一个典型目标是延迟不良分岔的发生。研究了一类二阶拥塞控制模型中的Hopf分岔控制问题。特别地，在具有优选属性的期望位置创建合适的Hopf分岔，并开发了用于创建Hopf分岔的动态延迟反馈控制器。使用该控制器，可以提高通信延迟的临界值，从而保证在较大的延迟下保持稳定的数据发送速率。应用微扰方法，给出了确定平衡点分岔周期解的周期和方向的显式公式。最后，通过数值仿真验证了动态延迟反馈控制器对Hopf分岔的有效控制。
A typical objective of bifurcation control is to delay the onset of undesirable bifurcation. In this paper, the problem of Hopf bifurcation control in a second-order congestion control model is considered. In particular, a suitable Hopf bifurcation is created at a desired location with preferred properties and a dynamic delayed feedback controller is developed for the creation of the Hopf bifurcation. With this controller, one can increase the critical value of the communication delay, and thus guarantee a stationary data sending rate for larger delay. Furthermore, explicit formulae to determine the period and the direction of periodic solutions bifurcating from the equilibrium are obtained by applying perturbation approach. Finally, numerical simulation results are presented to show that the dynamic delayed feedback controller is efficient in controlling Hopf bifurcation.