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Adaptive Synchronization of Fractional Order Complex-Variable Dynamical Networks via Pinning Control 被引量:1

Adaptive Synchronization of Fractional Order Complex-Variable Dynamical Networks via Pinning Control
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摘要 In this paper, the synchronization of fractional order complex-variable dynamical networks is studied using an adaptive pinning control strategy based on close center degree. Some effective criteria for global synchronization of fractional order complex-variable dynamical networks are derived based on the Lyapunov stability theory. From the theoretical analysis, one concludes that under appropriate conditions, the complex-variable dynamical networks can realize the global synchronization by using the proper adaptive pinning control method. Meanwhile, we succeed in solving the problem about how much coupling strength should be applied to ensure the synchronization of the fraetionla order complex networks. Therefore, compared with the existing results, the synchronization method in this paper is more general and convenient. This result extends the synchronization condition of the real-variable dynamical networks to the complex-valued field, which makes our research more praetical. Finally, two simulation examples show that the derived theoretical results are valid and the proposed adaptive pinning method is effective.
作者 Da-Wei Ding Jie Yah Nian Wang Dong Liang 丁大为;闫洁;王年;梁栋(School of Electronics and Information Engineering, Anhui University)
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2017年第9期366-374,共9页 理论物理通讯(英文版)
基金 Supported by National Natural Science Foundation of China under Grant No.61201227 National Natural Science Foundation of China Guangdong Joint Fund under Grant No.U1201255 the Natural Science Foundation of Anhui Province under Grant No.1208085MF93 211 Innovation Team of Anhui University under Grant Nos.KJTD007A and KJTD001B supported by Chinese Scholarship Council
关键词 complex-variable fractional order complex networks SYNCHRONIZATION adaptive pinning control 自适应同步 动态网络 钉扎控制 复变量 分数阶 李雅普诺夫稳定性理论 同步问题 复杂网络
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