@inproceedings{e6977de98e0f4a02812557401e18b6c5,
title = "Bifurcation control of an incommensurate fractional-order Van der Pol oscillator",
abstract = "In this paper, a dynamic state feedback is applied to control Hopf bifurcations arising from an incommensurate fractional-order Van der Pol oscillator. The control parameter of the incommensurate fractional-order Van der Pol system is chosen as the bifurcation parameter. It is shown that in the absences of the dynamic state feedback controller, the incommensurate fractional-order system loses the stability via the Hopf bifurcation early and can maintain the stability only in a certain domain of the control parameter. When the state feedback controller is applied to the incommensurate fractional-order system, the onset of the undesirable Hopf bifurcation is postponed. Thus, the stability domain is extended and the system possesses the stability in a larger parameter range. Numerical simulations are given to illustrate the validity of the dynamic state feedback controller in bifurcation control of the incommensurate fractional-order Van der Pol system.",
keywords = "bifurcation theory, differential equations",
author = "Min Xiao and Zheng, {Wei Xing} and Youhong Wan and Chunxia Fan and Guoping Jiang",
year = "2014",
doi = "10.1109/ChiCC.2014.6896974",
language = "English",
isbn = "9789881563842",
publisher = "IEEE",
pages = "2206--2211",
booktitle = "Proceedings of 2014 33rd Chinese Control Conference (CCC 2014), Nanjing, China, 28-30 July 2014",
note = "Chinese Control Conference ; Conference date: 28-07-2014",
}