Synchronization of Networked Harmonic Oscillators With Communication Delays Under Local Instantaneous Interaction
Synchronization of Networked Harmonic Oscillators With Communication Delays Under Local Instantaneous Interaction
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DOI：
10.1115/1.4006365
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发表时间：
2012-11
影响因子：
1.7
通讯作者：
Hua Zhang;Jin Zhou;Zengrong Liu
中科院分区：
文献类型：
--
作者：
Hua Zhang;Jin Zhou;Zengrong Liu
本文的主要目的是提出一个分布式同步算法在无向网络的耦合谐振子具有通信延迟下的本地瞬时相互作用。分别在无向固定和切换网络拓扑上，解析地导出了这种算法指数收敛的一些一般准则。与现有的纯连续或离散时间算法不同，本文的一个显著特点是解决无向网络中的同步问题，即使每个振子仅在某些离散时刻瞬时与其邻居交换速度信息。结果表明，网络谐振子可以同步下瞬时网络连接。最后通过数值算例验证了理论结果的有效性和可行性。
The primary objective of this paper is to propose a distributed synchronization algorithm in undirected networks of coupled harmonic oscillators having communication delays under local instantaneous interaction. Some generic criteria on exponential convergence for such algorithm over, respectively, undirected fixed and switching network topologies are derived analytically. Different from the existing pure continuous or discrete-time algorithms, a distinctive feature of this work is to solve synchronization problem in undirected networks even if each oscillator instantaneously exchanges the information of the velocity with its neighbors only at some discrete moments. It is shown that the networked harmonic oscillators can be synchronized under instantaneous network connectivity. Subsequently, numerical examples illustrate and visualize the effectiveness and feasibility of the theoretical results.