Hopf bifurcation Control for an Internet Congestion Model
Hopf bifurcation Control for an Internet Congestion Model
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DOI：
10.1142/s0218127405013587
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发表时间：
2005-08
期刊：
影响因子：
--
通讯作者：
Zhen Chen;P. Yu
中科院分区：
文献类型：
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作者：
Zhen Chen;P. Yu
在这篇文章中，我们考虑了具有单一来源访问的单一路由的互联网拥塞模型的Hopf分岔控制。研究表明，无控制的系统不能保证稳定的发送速率。当系统的正增益参数超过临界点时，发生Hopf分岔。为了控制Hopf分岔，提出了一种使用多项式函数的时滞反馈控制器来延缓不希望出现的Hopf分岔的发生。数值仿真结果验证了该时滞反馈控制器对Hopf分岔控制的有效性。这种方法可以推广到研究高维时滞微分方程。
In this note, we consider Hopf bifurcation control for an Internet congestion model with a single route accessed by a single source. It has been shown that the system without control cannot guarantee a stationary sending rate. As the positive gain parameter of the system passes a critical point, Hopf bifurcation occurs. To control the Hopf bifurcation, a time-delayed feedback controller using polynomial function is proposed to delay the onset of undesirable Hopf bifurcation. Numerical simulation results confirm that the new feedback controller using time delay is efficient in controlling Hopf bifurcation. This approach can be extended to study higher dimensional delay differential equations.