| Global synchronization of Chua＇s chaotic delay network by using linear matrix inequality |
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| 引用本文： | 李智,施颂椒. Global synchronization of Chua＇s chaotic delay network by using linear matrix inequality[J]. 中国物理, 2004, 13(8): 1221-1225. DOI: 10.1088/1009-1963/13/8/007 |
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| 作者姓名： | 李智 施颂椒 |
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| 作者单位： | (1)Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China; Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China; (2)Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 70371066 ), and by China Postdoctoral Science Foundation (Grant No 2003033307). |
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| 摘 要： | Global synchronization of Chua‘s chaotic dynamical networks with coupling delays is investigated in this paper.Unlike other approaches, where only local results were obtained, the network is found to be not linearized in this paper.Insteat, the global synchronization is obtained by using the linear matrix inequality theory. Moreover, some quite simple linear-state-error feedback controllers for global synchronization are derived, which can be easily constructed based on the minimum eigenvalue of the coupling matrix. A simulation of Chua‘s chaotic network with global coupling delays in nodes is finally given, which is used to verify the theoretical results of the proposed global synchron izationscheme.
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| 关 键 词： | 球形同步 混沌网络 耦合延迟 线性矩阵不等式 线性态误码反馈控制 信号分析 |
| 收稿时间： | 2003-11-11 |
Global synchronization of Chua's chaotic delay network by using linear matrix inequality |
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| Li Zhi and Shi Song-Jiao. Global synchronization of Chua's chaotic delay network by using linear matrix inequality[J]. Chinese Physics, 2004, 13(8): 1221-1225. DOI: 10.1088/1009-1963/13/8/007 |
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| Authors: | Li Zhi and Shi Song-Jiao |
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| Affiliation: | Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China; Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China |
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| Abstract: | Global synchronization of Chua's chaotic dynamical networks with coupling delays is investigated in this paper. Unlike other approaches, where only local results were obtained, the network is found to be not linearized in this paper. Instead, the global synchronization is obtained by using the linear matrix inequality theory. Moreover, some quite simple linear-state-error feedback controllers for global synchronization are derived, which can be easily constructed based on the minimum eigenvalue of the coupling matrix. A simulation of Chua's chaotic network with global coupling delays in nodes is finally given, which is used to verify the theoretical results of the proposed global synchronization scheme. |
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| Keywords: | global synchronization Chua's chaotic network coupling delays linear matrix inequality |
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