Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 48, Issue 16, Pages 3382-3390Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2017.1384962
Keywords
Fixed-time control; adaptive control; cluster synchronisation; uncertain disturbances
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Funding
- National Natural Science Foundation of China [61374194]
- National Key Science and Technology Pillar Program of China [2014BAG01B03]
- Priority Academic Program Development of Jiangsu Higher Education Institutions
- Society Science Foundation from Ministry of Education of China [15YJAZH002]
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This paper focuses on the cluster synchronisation problem of coupled complex networks with uncertain disturbances under an adaptive fixed-time control strategy. To begin with, complex dynamical networks with community structure which are subject to uncertain disturbances are taken into account. Then, a novel adaptive control strategy combined with fixed-time techniques is proposed to guarantee the nodes in the communities to desired states in a settling time. In addition, the stability of complex error systems is theoretically proved based on Lyapunov stability theorem. At last, two examples are presented to verify the effectiveness of the proposed adaptive fixed-time control.
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