摘要
在有向网络拓扑结构下研究了网络型调和振子系统的分群同步问题。在系统中每个振子仅在一系列离散时刻获得其邻居节点的相对速度的采样数据的情况下,基于现代采样控制理论设计了一种简单有效的分布式控制输入协议。利用混杂系统的Schur-Cohn稳定性判据,给出了系统达到同步稳定的判定条件。最后通过数值模拟进一步验证了所给结果的正确性。
The paper investigates the cluster synchronization of coupled harmonic oscillators in directed networks,where each oscillator can only obtain the sample data of the relative velocity of its neighbor node at a series of discrete time moments. An effective distributed input control protocol is proposed. By using Schur-Cohn stability criterion of hybrid system,some sufficient conditions for achieving synchronization are obtained. Finally, the numerical simulations further verify the correctness of the results.
作者
万明非
张华
叶志勇
杨伟
WAN Mingfei;ZHANG Hua;YE Zhiyong;YANG Wei(School of Science, Chongqing University of Technology, Chongqing 400054, China;Big Data Institute of Tongren Univesity, Tongren 554300, China)
出处
《重庆理工大学学报（自然科学）》
CAS
北大核心
2018年第3期242-248,272,共8页
Journal of Chongqing University of Technology：Natural Science
基金
国家自然科学基金资助项目(61364003)
重庆市教委科学技术项目(KJ1500915)
重庆理工大学科研项目(2013ZD22)
