Global Asymptotical Stability of Internet Congestion Control

Authors:
Hong-Yong Yang;Fu-Sheng Wang;Xun-Lin Zhu;Si-Ying Zhang
Affiliations:
School of Information Science and Engineering, Northeastern University, Shenyang, 110006, China and School of Computer Science and Technology, Ludong University, Yantai, 264025, China;School of Computer Science and Technology, Ludong University, Yantai, 264025, China;School of Information Science and Engineering, Northeastern University, Shenyang, 110006, China;School of Information Science and Engineering, Northeastern University, Shenyang, 110006, China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Year:
2007

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Abstract

A class of Internet congestion control algorithms with communication delays is studied. The algorithm is a pieced continuous function that will be switched on the rate of the source. Based on the Lyapunov theorem, the Lyapunov stability of the system is analyzed. By applying Barbalat Lemma, the global asymptotical stability (GAS) of the algorithm is proved, and a more concise criterion is presented.