Decentralized Adaptive Strategies for Synchronization of Fractional-order Complex Networks |
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| Xu Quan, Zhuang Shengxian, Zeng Yingfeng and Xiao Jian, "Decentralized Adaptive Strategies for Synchronization of Fractional-order Complex Networks," IEEE/CAA J. Autom. Sinica, vol. 4, no. 3, pp. 543-550, July 2017. doi: 10.1109/JAS.2016.7510142 |
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| Authors: | Xu Quan Zhuang Shengxian Zeng Yingfeng Xiao Jian |
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| Affiliation: | 1. School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China, and also with the School of Technology, Xihua University, Chengdu 610039, China;2. School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China |
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| Abstract: | This paper focuses on synchronization of fractionalorder complex dynamical networks with decentralized adaptive coupling. Based on local information among neighboring nodes, two fractional-order decentralized adaptive strategies are designed to tune all or only a small fraction of the coupling gains respectively. By constructing quadratic Lyapunov functions and utilizing fractional inequality techniques, Mittag-Leffler function, and Laplace transform, two sufficient conditions are derived for reaching network synchronization by using the proposed adaptive laws. Finally, two numerical examples are given to verify the theoretical results. |
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| Keywords: | Decentralized adaptive control fractional-order complex networks quadratic Lyapunov functions synchronization |
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