@inproceedings{9dba9b3789014d3dbf0842b810b34f46,
title = "Stability and bifurcation analysis for a congestion control model with Caputo fractional derivative and time delay",
abstract = "This paper proposes a delayed fractional-order model which is more accurate than the original integer-order model when depicting dual congestion control algorithms. Some sufficient conditions for the local stability are derived for the delayed fractional-order model of congestion control algorithms. Hopf bifurcation conditions are put forward for general delayed fractional-order systems. Then the existence of Hopf bifurcations is established for the delayed fractional-order congestion control model. The critical values of the delay are determined, where the Hopf bifurcations occur and a family of oscillations bifurcate from the equilibrium. Finally, numerical simulations are carried out to illustrate the main results.",
keywords = "automatic control, bifurcation theory, mathematical models",
author = "Min Xiao and Zheng, {Wei Xing} and Yurong Song and Guoping Jiang",
year = "2016",
doi = "10.1109/ChiCC.2016.7555017",
language = "English",
isbn = "9789881563910",
publisher = "IEEE",
pages = "10481--10486",
booktitle = "Proceedings of 2016 35th Chinese Control Conference (CCC 2016), Chengdu, China, 27-29 July 2016",
note = "Chinese Control Conference ; Conference date: 27-07-2016",
}