CONTROLLING HOPF BIFURCATION IN FLUID FLOW MODEL OF INTERNET CONGESTION CONTROL SYSTEM
2009 ◽
Vol 19
(04)
◽
pp. 1415-1424
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Keyword(s):
In this paper, a time-delayed feedback controller is applied to a fluid flow model of Internet congestion control system in order to control Hopf bifurcation. It has been shown that the system without control loses stability and a Hopf bifurcation occurs when the bifurcation parameter, which is the communication delay of the model, passes through a critical value. Therefore, a control approach based on delayed feedback is proposed to postpone the onset of undesired Hopf bifurcation. Theoretical analysis and numerical simulations confirm that the controller is efficient in bifurcation control of the Internet congestion control system.
Keyword(s):
2009 ◽
Vol 10
(2)
◽
pp. 824-839
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2014 ◽
Vol 33
(1)
◽
pp. 69-93
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2007 ◽
Vol 40
(12)
◽
pp. 639-644
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Keyword(s):
2010 ◽
Vol 11
(5)
◽
pp. 3842-3857
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2012 ◽
Vol 13
(3)
◽
pp. 1466-1479
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Keyword(s):