Abstract
![CDATA[This paper investigates the problem of controlling Hopf bifurcation of delayed small-world networks with fractional-order dynamics. Specifically, a fractional-order PID feedback controller is designed to realize control of the Hopf bifurcation that is embedded in delayed small-world networks with fractional-order dynamics. The characteristic equation of the controlled fractional-order network is analyzed, which yields the useful conditions for stability as well as Hopf bifurcation. Moreover, the analysis reveals that the control parameters of the fractional-order PID feedback control scheme may be varied to have a significant effect on the bifurcation dynamics of the controlled small-world network with fractional-order dynamics. The theoretical findings are also confirmed through computer simulations.]]
Original language | English |
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Title of host publication | Proceedings IEEE CCTA 2019, 3rd IEEE Conference on Control Technology and Applications, August 19-21, 2019, City University of Hong Kong, Hong Kong, China |
Publisher | IEEE |
Pages | 529-534 |
Number of pages | 6 |
ISBN (Print) | 9781728127675 |
DOIs | |
Publication status | Published - 2019 |
Event | IEEE Conference on Control Technology and Applications - Duration: 19 Aug 2019 → … |
Conference
Conference | IEEE Conference on Control Technology and Applications |
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Period | 19/08/19 → … |
Keywords
- Hopf algebras
- feedback control systems
- fractional calculus