| 复杂动力网络的鲁棒性同步 |
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| 引用本文： | 赵军产,李钦.复杂动力网络的鲁棒性同步[J].数学杂志,2016,36(4):727-736. |
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| 作者姓名： | 赵军产 李钦 |
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| 作者单位： | 湖南商学院数学与统计学院, 湖南 长沙 410205;湖南商学院移动商务智能湖南省重点实验室, 湖南 长沙 410205,挪威石油公司研发中心, 挪威 波什格伦 3936 |
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| 基金项目： | Supported by National Natural Science Foundation of China (61203159; 61273232; 61573011). |
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| 摘 要： | 本文研究了扰动下复杂动力网络的同步问题. 利用输入状态稳定性分析的方法, 给出了鲁棒同步的概念, 分析了非时间延迟的和含有时间延迟动力网络的同步, 数值仿真也验证了结果的有效性.
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| 关 键 词： | 复杂网络 鲁棒同步 时间延迟 扰动 |
| 收稿时间： | 2015/10/21 0:00:00 |
| 修稿时间： | 2016/2/26 0:00:00 |
ROBUST SYNCHRONIZATION OF COMPLEX DYNAMICAL NETWORKS |
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| ZHAO Jun-chan and LI Qin.ROBUST SYNCHRONIZATION OF COMPLEX DYNAMICAL NETWORKS[J].Journal of Mathematics,2016,36(4):727-736. |
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| Authors: | ZHAO Jun-chan and LI Qin |
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| Institution: | School of Mathematics and Statistics, Hunan University of Commerce, Changsha 410205, China;Key Laboratory of Hunan Province for Mobile Business Intelligence, Hunan University of Commerce, Changsha 410205, China and Statoil Research Centre, Porsgrunn 3936, Norway |
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| Abstract: | In this paper, we study the synchronization of complex networks with nonlinear perturbations. Using the input-to-state stability method, we obtain the result of robust synchro-nization of networks. Some sufficient conditions that ensure the robust synchronization of the weighted complex dynamical networks are provided for both systems without time delay and time-delay systems. Numerical simulations are given to validate our theoretical analysis. |
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| Keywords: | complex network robust synchronization time-delay perturbation |
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