| Global Synchronization of General Delayed Dynamical Networks |
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| 作者姓名： | 李智 |
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| 作者单位： | [1]Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai 200433 [2]Department of Automatic Control Engineering, Xidian University~ PO Box 136, Xi＇an 710071 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 70371066 and 70671079. |
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| 摘 要： |
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| 关 键 词： | 全球同期化 动力学网络 时间延迟 物理学 |
| 收稿时间： | 2006-11-4 |
| 修稿时间： | 2006-11-04 |
Global Synchronization of General Delayed Dynamical Networks |
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| LI Zhi.Global Synchronization of General Delayed Dynamical Networks[J].Chinese Physics Letters,2007,24(7):1869-1872. |
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| Authors: | LI Zhi |
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| Institution: | Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai 200433Department of Automatic Control Engineering, Xidian University, PO Box 136, Xi'an 710071 |
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| Abstract: | Global synchronization of general delayed dynamical networks with linear coupling are investigated. A sufficient condition for the global synchronization is obtained by using the linear matrix inequality and introducing a reference state. This condition is simply given based on the maximum nonzero eigenvalue of the network coupling matrix. Moreover, we show how to construct the coupling matrix to guarantee global synchronization of network, which is very convenient to use. A two-dimension system with delay as a dynamical node in network with global coupling is finally presented to verify the theoretical results of the proposed global synchronization scheme. |
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| Keywords: | 25 70 Gh 05 10 -a 05 45 Xt |
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