变时滞不确定复杂动态网络的指数同步控制

doi:10.3969/j.issn.0255-8297.2018.05.013

应用科学学报 ›› 2018, Vol. 36 ›› Issue (5): 859-869.doi: 10.3969/j.issn.0255-8297.2018.05.013

变时滞不确定复杂动态网络的指数同步控制

罗毅平¹, 舒黎^1,2, 周笔锋³

1. 湖南工程学院风电发电机组及控制重点实验室, 湖南湘潭 411100;
2. 湖南省风电装备与电能变换协同创新中心, 湖南湘潭 411100;
3. 湖南电气职业学院风能学院, 湖南湘潭 411100

收稿日期:2017-08-05 修回日期:2017-10-17 出版日期:2018-09-30 发布日期:2018-09-30
作者简介:罗毅平,教授,研究方向:复杂网络控制、分布式参数系统控制,E-mail:lyp@hnie.edu.cn
基金资助:
国家自然科学基金（No.11372107）资助

Exponential Synchronization Control of Uncertain Complex Dynamic Networks with Time-Varying Delay

LUO Yi-ping¹, SHU Li^1,2, ZHOU Bi-feng³

1. Key Laboratory of Wind Power Generation and Control, Hunan Institute of Engineering, Xiangtan 411100, Hunan Province, China;
2. Collaborative Innovation Center of Wind Power Equipment and Power Transformation in Hunan Province, Xiangtan 411100, Hunan Province, China;
3. School of Wind Energy, Hunan Electric Career Academy, Xiangtan 411100, Hunan Province, China

Received:2017-08-05 Revised:2017-10-17 Online:2018-09-30 Published:2018-09-30

摘要/Abstract

摘要： 针对一类具有变时滞非线性耦合的不确定复杂动态网络，研究其指数同步问题.同时考虑复杂网络模型中变时滞和网络的不确定性，在节点的动态变化及节点间的耦合均为非线性条件下，假设不确定项满足匹配条件，变时滞未知但有界，通过构造合适的Lyapunov-Krasovskii泛函，利用线性矩阵不等式等分析方法设计了合适的反馈控制器，得到一类具有变时滞的不确定复杂动态网络指数同步的新判据.最后，通过仿真验证了所提出控制设计的有效性.

关键词: 复杂网络, 变时滞, 不确定, 线性矩阵不等式, 指数同步

Abstract: This paper focuses on the exponential synchronization problems of uncertain complex dynamic networks with time-varying delay. Both time-varying delays and network uncertainties of the complex dynamic network model are considered. As the dynamic changes of nodes and the coupling between nodes are nonlinear, under the condition that the uncertainty satisfies the matching condition and that the delay is unknown but bounded, a new criterion of the exponential synchronization is derived by constructing a suitable Lyapunov-Krasovskii function with the linear matrix inequality (LMI) approach. And the appropriate feedback controllers are designed. Finally, numerical simulation validates the effectiveness of the proposed method.

Key words: uncertain, linear matrix inequality (LMI), exponential synchronization, time-varying delay, complex network

中图分类号:

TP13

罗毅平, 舒黎, 周笔锋. 变时滞不确定复杂动态网络的指数同步控制[J]. 应用科学学报, 2018, 36(5): 859-869.

LUO Yi-ping, SHU Li, ZHOU Bi-feng. Exponential Synchronization Control of Uncertain Complex Dynamic Networks with Time-Varying Delay[J]. Journal of Applied Sciences, 2018, 36(5): 859-869.

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变时滞不确定复杂动态网络的指数同步控制

Exponential Synchronization Control of Uncertain Complex Dynamic Networks with Time-Varying Delay

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