两个异构复杂网络的广义同步与参数识别

韦相; 赵军产; 胡春华

doi:10.16383/j.aas.2017.c160449

两个异构复杂网络的广义同步与参数识别

doi: 10.16383/j.aas.2017.c160449

韦相^1,2,,
赵军产^3,4, ,,
胡春华^4,

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

基金项目:

国家自然科学基金 61273232

湖南省教育厅优秀青年基金项目 16B141

新世纪优秀人才基金 NCET-13-0785

国家自然科学基金 41301442

国家自然科学基金 61174028

详细信息

作者简介:
韦相武汉大学博士研究生.2006年获得云南大学数学与统计学院硕士学位.主要研究方向为复杂网络的同步和拓扑结构识别, 复杂网络传播动力学.E-mail:weixiangwx2003@163.com

胡春华湖南商学院移动商务智能湖南省重点实验室教授.2007年于中南大学计算机科学学院获得博士学位.主要研究方向为云计算, 服务计算和可信计算.E-mail:huch36@gmail.com

通讯作者:
赵军产湖南商学院数学与统计学院副教授.2009年获得武汉大学数学学院博士学位.主要研究方向为复杂网络与复杂系统, 多智能体, 混沌动力学, 复杂网络传播动力学.E-mail:junchanzhao@163.com

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出版历程
- 收稿日期: 2016-06-03
- 录用日期: 2016-08-23
- 刊出日期: 2017-04-01

Generalized Synchronization and System Parameters Identification BetweenTwo Different Complex Networks

WEI Xiang^{1,2
,},
ZHAO Jun-Chan^{3,4
, ,},
HU Chun-Hua^4
,

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

Funds:

National Natural Science Foundation of China 61273232

The Excellent Youth Foundation of Hunan Provincial Department of Education 16B141

The Program for New Century Excellent Talents in University NCET-13-0785

National Natural Science Foundation of China 41301442

National Natural Science Foundation of China 61174028

More Information

Author Bio:
Ph. D. candidate at the School of Mathematics and Statistics, Wuhan University. He received his master degree from Yunnan University in 2006. His research interest covers complex network synchronization, reconstruction of complex network, and complex networks spread dynamics

Professor at the Key Laboratory of Hunan Province for Mobile Business Intelligence, Hunan University of Commerce, He received his Ph. D. degree in computer science from Central South University in 2007. His research interest covers cloud computing, service computing, and dependability computing

Corresponding author: ZHAO Jun-Chan Associate professor at the School of Mathematics and Statistics, Hunan University of Commerce. He received his Ph. D. degree from Wuhan University in 2009. His research interest covers complex systems and complex networks, multiagent system, chaos dynamics, and complex networks spread dynamics. Corresponding author of this paper

摘要

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.
- 复杂网络 /
- 广义同步 /
- 参数识别 /
- 自适应控制
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.
- Complex networks /
- generalized synchronization (GS) /
- parameters identification /
- adaptive controller

HTML全文

图 1 驱动和响应网络模型

(虚线表示网络之间的连边)

Fig. 1 Model of drive network and response network

(dashed links as interlayer links between networks)

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图 2 参数识别

Fig. 2 Parameters identiflcation

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图 3 反馈参数时间演化

Fig. 3 Feedback parameters time evolution

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图 4 广义同步总误差

Fig. 4 Total error of GS

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图 5 耦合时滞的参数识别

Fig. 5 Parameters identiflcation with delay coupling

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图 6 耦合时滞的反馈参数时间演化

Fig. 6 Feedback parameters time evolution with delay coupling

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图 7 耦合时滞的广义同步总误差

Fig. 7 Total error of GS with delay coupling

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图 8 参数识别

Fig. 8 Parameters identiflcation

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图 9 反馈参数时间演化

Fig. 9 Feedback parameters time evolution

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图 10 广义同步误差

Fig. 10 Total error of GS

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图 11 耦合延迟的参数识别

Fig. 11 Parameters identiflcation with delay coupling

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图 12 耦合时滞的反馈参数时间演化

Fig. 12 Feedback parameters time evolution with delay coupling

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图 13 耦合延迟的广义同步总误差

Fig. 13 Total error of GS with delay coupling

下载: 全尺寸图片幻灯片

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两个异构复杂网络的广义同步与参数识别

doi: 10.16383/j.aas.2017.c160449

通讯作者:
赵军产湖南商学院数学与统计学院副教授.2009年获得武汉大学数学学院博士学位.主要研究方向为复杂网络与复杂系统, 多智能体, 混沌动力学, 复杂网络传播动力学.E-mail:junchanzhao@163.com

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Generalized Synchronization and System Parameters Identification BetweenTwo Different Complex Networks

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两个异构复杂网络的广义同步与参数识别

doi: 10.16383/j.aas.2017.c160449

通讯作者: 赵军产 湖南商学院数学与统计学院副教授.2009年获得武汉大学数学学院博士学位.主要研究方向为复杂网络与复杂系统, 多智能体, 混沌动力学, 复杂网络传播动力学.E-mail:junchanzhao@163.com

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Generalized Synchronization and System Parameters Identification BetweenTwo Different Complex Networks

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出版历程

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通讯作者:
赵军产湖南商学院数学与统计学院副教授.2009年获得武汉大学数学学院博士学位.主要研究方向为复杂网络与复杂系统, 多智能体, 混沌动力学, 复杂网络传播动力学.E-mail:junchanzhao@163.com