摘要
论文分析了耦合调和振子网络系统在联合连通网络拓扑结构下的引导-跟随同步问题.假定每个网络拓扑结构图不连通,但它们在有限时间内能够联合连通,利用代数图论,李雅普诺夫稳定性理论和La Salle不变原理,证明了该系统的同步稳定性.最后,数值模拟进一步验证了所得理论结果的正确性和有效性.
This paper investigates the dynamical behavior of coupled harmonic oscillators over jointly-connected topologies. It is assumed that every communication topology is not connected but jointly connected in the finite time. Some criteria for the leader-following synchronization of the coupled harmonic oscillators are established based on the linear algebra theory,Lyapunov stability theory and La Salle invariant theory. Finally,numerical simulation further validates the correctness of the theoretical results.
作者
张华
万明非
颜青
杨伟
Zhang Hua;Wan Mingfei;Yan Qing;Yang Wei(School of Science,Chongqing University of Technology,Chongqing 400054,China;Department of Big Data,Tongren University,Tongren 554300,China)
出处
《动力学与控制学报》
2018年第5期448-452,共5页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(61364003)
重庆市教委科学技术研究项目(KJ1500915)
重庆理工大学科研启动基金(2013ZD22)~~
关键词
耦合调和振子
联合连通
李雅普诺夫稳定性
同步
引导-跟随
coupled harmonic oscillators
jointly-connected topology
Lyapunov stability
synchronization
leader-following
