A note on connectivity of multi-agent systems with proximity graphs and linear feedback protocol

A note on connectivity of multi-agent systems with proximity graphs and linear feedback protocol
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关于具有邻近图和线性反馈协议的多智能体系统连接性的说明

DOI:
10.1016/j.automatica.2009.03.027
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发表时间:
2009-08
期刊:
影响因子:
6.4
通讯作者:
Zhendong Sun
Zhendong Sun
中科院分区:
计算机科学2区
文献类型:
--
作者:
Jie Huang;Zhendong Sun

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在这篇文章中,我们研究了利用接近图和线性反馈协议来简化多智能体系统连通性验证的可能性。提出了一种分析网络最大边长单调性的类Lyapunov方法。基于这种方法,我们给出了基于初始连通性的动态连通性的充分条件。特别地,当每个初始节点度不小于图的四分之三的顺序时,初始网络连通性意味着动态连通性。
In this note, we investigate the possibility of simplifying the connectivity verification for multi-agent systems with proximity graphs and the linear feedback protocol. A Lyapunov-like approach is developed for analyzing the monotonicity of the largest edge length in the network. Based on this approach, we provide an initial-connectivity-based sufficient condition for dynamic connectivity. In particular, when each initial node degree is not less than three fourth of the graph order, initial network connectivity implies dynamic connectivity.
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