| 两个异构复杂网络的广义同步与参数识别 |
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| 引用本文： | 韦相, 赵军产, 胡春华. 两个异构复杂网络的广义同步与参数识别. 自动化学报, 2017, 43(4): 595-603. doi: 10.16383/j.aas.2017.c160449 |
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| 作者姓名： | 韦相 赵军产 胡春华 |
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| 作者单位： | 1.红河学院工学院 红河 661100;;2.武汉大学数学与统计学院 武汉 430072;;3.湖南商学院数学与统计学院 长沙 410205;;4.湖南商学院移动商务智能湖南省重点实验室 长沙 410205 |
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| 基金项目： | 国家自然科学基金（41301442，61174028，61273232），新世纪优秀人才基金（NCET-13-0785），湖南省教育厅优秀青年基金项目（16B141）资助 |
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| 摘 要： | 本文实现复杂网络未知系统参数的识别.针对系统未知参数，提出基于广义同步（Generalized synchronization，GS）的参数识别方法.该方法基于Babalat引理，利用Lyapunov稳定性理论，构造另一个具有不同拓扑结构和动力学方程的网络，并设计有效的自适应控制器，实现具有耦合时滞两个不同网络的广义同步，同时准确识别未知参数.与基于完全同步的参数识别方法相比，该方法能够构造低维的系统去识别高维系统的参数.数值实验验证了算法的有效性.
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| 关 键 词： | 复杂网络 广义同步 参数识别 自适应控制 |
| 收稿时间： | 2016-06-03 |
Generalized Synchronization and System Parameters Identification BetweenTwo Different Complex Networks |
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| WEI Xiang, ZHAO Jun-Chan, HU Chun-Hua. Generalized Synchronization and System Parameters Identification BetweenTwo Different Complex Networks. ACTA AUTOMATICA SINICA, 2017, 43(4): 595-603. doi: 10.16383/j.aas.2017.c160449 |
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| Authors: | WEI Xiang ZHAO Jun-Chan HU Chun-Hua |
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| Affiliation: | 1. Department of Engineering, Honghe University, Honghe 661100;;2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072;;3. School of Mathematics and Statistics, Hunan University of Commerce, Changsha 410205;;4. Key Laboratory of Hunan Province for Mobile Business Intelligence, Hunan University of Commerce, Changsha 410205 |
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| Abstract: | This paper proposes a method to identify system unknown parameters of complex network. Aimed at system unknown parameters, a method using generalized synchronization (GS) is proposed. This method bases on Barbalat lemma and Lyapunov stability scheme and contructs an auxiliary complex network with different topologies and dynamics. Some adaptive controllers are also designed to identify system parameters upon GS with delay coupling. Compared to the method based on complete outer synchronization, the proposed method can construct simple and low dimensional dynamics to identify the parameters of high dimensional dynamics. Numerical simulations are provided to show the effectiveness of the proposed method. |
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| Keywords: | Complex networks generalized synchronization(GS) parameters identification adaptive controller |
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