[1]胡萌萌,丰建文,赵毅,等.非线性时滞耦合异构Lur’e网络的拟同步[J].深圳大学学报理工版,2018,35(No.1(001-110)):85-91.[doi:10.3724/SP.J.1249.2018.01085]
 HU Mengmeng,FENG Jianwen,ZHAO Yi,et al.Quasi-synchronization of nonlinear time-delay coupled heterogeneous Lur’e networks[J].Journal of Shenzhen University Science and Engineering,2018,35(No.1(001-110)):85-91.[doi:10.3724/SP.J.1249.2018.01085]
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非线性时滞耦合异构Lur’e网络的拟同步()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第35卷
期数:
2018年No.1(001-110)
页码:
85-91
栏目:
数学与应用数学
出版日期:
2018-01-12

文章信息/Info

Title:
Quasi-synchronization of nonlinear time-delay coupled heterogeneous Lur’e networks
文章编号:
201801013
作者:
胡萌萌丰建文赵毅徐晨
深圳大学数学与统计学院,广东深圳518060
Author(s):
HU Mengmeng FENG Jianwen ZHAO Yi and XU Chen
College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, Guangdong Province, P.R.China
关键词:
Lur’e网络拟同步参数不匹配非线性耦合时变时滞非周期间歇控制牵制控制
Keywords:
Lur’e network quasi-synchronization parameter mismatch nonlinear coupling time-varying delay aperiodically intermittent control pinning control
分类号:
O 193
DOI:
10.3724/SP.J.1249.2018.01085
文献标志码:
A
摘要:
带有参数不匹配的异构网络是不能达到完全同步的,但可以实现网络中各节点的状态和目标状态间存在有界误差的拟同步.基于非周期间歇牵制控制策略,讨论一类非线性时变时滞耦合异构Lur’e网络的拟同步.通过构造简单的Lyapunov函数,经过严格理论分析,得到若干与参数相关的充分条件,保证了该异构网络实现拟同步.数值模拟验证了所得理论结果的正确性和有效性.
Abstract:
The heterogeneous networks with mismatched parameters cannot reach complete synchronization,but they can achieve quasi-synchronization,which means the state of each node in networks will keep a bounded error comparing with the target state.Quasi-synchronization is investigated for a class of nonlinear time-varying delay coupled heterogeneous Lur’e networks based on the aperiodically intermittent pinning control technique.By constructing a simple Lyapunov function,some sufficient conditions regarding the parameters are obtained to guarantee the heterogeneous networks to achieve quasi-synchronization through rigorous theoretical analysis.The validity and effectiveness of the theoretical results are verified by numerical simulation.

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备注/Memo

备注/Memo:
Received:2017-06-12;Accepted:2017-09-08
Foundation:National Natural Science Foundation of China (61472257,61273220)
Corresponding author:Professor FENG Jianwen.E-mail: fengjw@szu.edu.cn
Citation:HU Mengmeng,FENG Jianwen,ZHAO Yi,et al.Quasi-synchronization of nonlinear time-delay coupled heterogeneous Lur’e networks[J]. Journal of Shenzhen University Science and Engineering, 2018, 35(1): 85-91.(in Chinese)
基金项目:国家自然科学基金资助项目(61472257,61273220)
作者简介:胡萌萌(1990—),女,深圳大学硕士研究生.研究方向:动力系统在复杂网络中的应用.E-mail: 13728814178@163.com
引文:胡萌萌,丰建文,赵毅,等.非线性时滞耦合异构Lur’e网络的拟同步[J]. 深圳大学学报理工版,2018,35(1):85-91.
更新日期/Last Update: 2017-12-22