| 带有非线性耦合节点和时滞的复杂网络的指数同步研究 |
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| 引用本文： | 刘辛涛,籍艳,王平.带有非线性耦合节点和时滞的复杂网络的指数同步研究[J].山东科学,2013,26(6):40-44. |
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| 作者姓名： | 刘辛涛 籍艳 王平 |
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| 作者单位： | 1.海军司令部航海保证部，天津 300042；
2. 山东省海洋环境监测技术重点实验室，山东省科学院海洋仪器仪表研究所，山东 青岛 266001 |
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| 基金项目： | 山东省自然科学基金（ZR2012DL11） |
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| 摘 要： | 在耦合矩阵不对称并且假设耦合指数已知的条件下，利用 Lyapunov Krasovskii稳定理论设计了一个非线性反馈控制器，使得复杂网络达到全局指数同步。通过数值仿真，证明了该同步定理的可行性和有效性。
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| 关 键 词： | 指数同步 复杂网络 时滞节点 Lyapunov函数 权值网络 |
| 收稿时间： | 2013-08-28 |
Exponential synchronization of complex networks with delayed and nonlinearly coupled nodes |
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| LIU Xin-tao,JI Yan,WANG Ping.Exponential synchronization of complex networks with delayed and nonlinearly coupled nodes[J].Shandong Science,2013,26(6):40-44. |
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| Authors: | LIU Xin-tao JI Yan WANG Ping |
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| Institution: | 1. Navigation Guarantee Department, Naval Headquarters, Tianjin 300042, China;
2. Shandong Provincial Key Laboratory of Ocean Environmental Monitoring Technology,Institute of Oceanographic Instrumentation, Shandong Academy of Sciences, Qingdao 266001, China |
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| Abstract: | We design a nonlinear feedback controller with Lyapunov-Krasovskii stability theory based on unsymmetry coupled matrix and the assumption of known coupling coefficients.We further implement the global exponential synchronization of a complex network.Numerical simulations demonstrate its feasibility and effectiveness. |
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| Keywords: | exponential synchronization complex networks delayed nodes Lyapunov function directed and weighted network |
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