| 耦合调和振子网络系统的联合连通同步 |
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| 引用本文： | 张华,万明非,颜青,杨伟. 耦合调和振子网络系统的联合连通同步[J]. 动力学与控制学报, 2018, 16(5): 448-452 |
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| 作者姓名： | 张华 万明非 颜青 杨伟 |
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| 作者单位： | 重庆理工大学理学院;铜仁学院大数据学院 |
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| 基金项目： | 国家自然科学基金项目(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) |
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| 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.
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| 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 |
| 收稿时间： | 2017-01-05 |
| 修稿时间： | 2017-07-15 |
Synchronization of coupled harmonic oscillators over jointly-connected topologies |
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| Zhang Hu,Wan Mingfei,Yan Qing and Yang Wei. Synchronization of coupled harmonic oscillators over jointly-connected topologies[J]. Journal of Dynamics and Control, 2018, 16(5): 448-452 |
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| Authors: | Zhang Hu Wan Mingfei Yan Qing Yang Wei |
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| Affiliation: | 1.School of Science, Chongqing University of Technology, Chongqing400054;2.Department of Big Data, Tongren University, Tongren554300; |
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| Abstract: | 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 LaSalle invariant theory. Finally, numerical simulation further validates the correctness of the theoretical results. |
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| Keywords: | coupled harmonic oscillators jointly-connected topology Lyapunov stability synchronization leader-following |
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