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Dynamic Properties of Dual-delay Network Congestion Control System Based on Hybrid Control

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Abstract

This paper studies an Internet congestion control system with two time delays, which are accessed by a single resource and considers both discrete and distributed delays of the system. By designing a new hybrid controller containing negative feedback control and time delay feedback control to control the system, and taking discrete time delay variables as bifurcation parameters, the local stability and Hopf bifurcation of the system are studied. The results show that the Hopf bifurcation can be effectively delayed or avoided by adjusting the value of the feedback control parameter \( \beta \). The global asymptotically stable dynamic characteristics of the system are ideal, which has important functional significance for optimizing network congestion control. Finally, a large number of simulation examples verify the correctness of the conclusions.

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Authors and Affiliations

  1. Department of Mathematics and Information Engineering, Liaocheng University Dongchang College, Liaocheng, 252001, China

    Lifang Wang & Wenzhao Qin

  2. School of Statistics and Data Science, Nanjing Audit University, Nanjing, 211815, China

    Yan-Yong Zhao

Authors
  1. Lifang Wang
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  2. Wenzhao Qin
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Correspondence to Yan-Yong Zhao.

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This research was supported by the National Natural Science Foundation of China under Grants No. 12071220, 11701286, and the third training object of the sixth “333 project” in Jiangsu Province.

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Wang, L., Qin, W. & Zhao, YY. Dynamic Properties of Dual-delay Network Congestion Control System Based on Hybrid Control. Neural Process Lett 55, 9295–9314 (2023). https://doi.org/10.1007/s11063-023-11202-7

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