期刊
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
卷 33, 期 1, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129183122500061
关键词
Cluster synchronization; fractional-order network; adaptive control; time delay
资金
- National Natural Science Foundation of China [61963019]
- NSF for Distinguished Young Scholar of Jiangxi Province of China [20171BCB23031]
- Graduate Innovation Fund of Jiangxi Normal University
This paper investigates cluster synchronization for fractional-order complex network with nondelay and delay coupling. Both static and adaptive control schemes are adopted to design effective controllers based on the stability theory of fractional-order systems and the properties of fractional derivative. The sufficient condition for achieving cluster synchronization about static controllers is provided. In the adaptive controllers, the feedback gains can adjust themselves to the needed values according to updating laws. Numerical simulations demonstrate the correctness of the obtained results.
In this paper, cluster synchronization for fractional-order complex network with nondelay and delay coupling is investigated. Based on the stability theory of fractional-order systems and the properties of fractional derivative, both static and adaptive control schemes are adopted to design effective controllers. Sufficient condition for achieving cluster synchronization about static controllers is provided. From the condition, the needed feedback gains can be estimated by simple calculations. Further, adaptive control scheme is introduced to design unified controllers. Noticeably, in the adaptive controllers, the feedback gains need not be calculated in advance and can adjust themselves to the needed values according to updating laws. Finally, numerical simulations are given to demonstrate the correctness of the obtained results.
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