A new approach to average consensus problems with multiple time-delays and jointly-connected topologies
A new approach to average consensus problems with multiple time-delays and jointly-connected topologies
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DOI：
10.1016/j.jfranklin.2011.11.002
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发表时间：
2012-02
期刊：
影响因子：
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通讯作者：
Peng Lin;Kaiyu Qin;Hongmei Zhao;M. Sun
中科院分区：
文献类型：
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作者：
Peng Lin;Kaiyu Qin;Hongmei Zhao;M. Sun
本文研究了具有延迟信息和联合连接拓扑的连续时间代理网络中的平均共识问题。将Barbalat引理扩展为分段连续函数导出引理，为切换系统提供了一种新的分析方法。然后基于这个引理，通过采用Lyapunov方法给出了系统平均一致性的线性矩阵不等式（LMI）的充分条件，其中通信结构随时间变化并且相应的图可能不连接。最后，提供了仿真结果来证明我们的理论结果的有效性。
This paper investigates average consensus problem in networks of continuous-time agents with delayed information and jointly-connected topologies. A lemma is derived by extending the Barbalat's Lemma to piecewise continuous functions, which provides a new analysis approach for switched systems. Then based on this lemma, a sufficient condition in terms of linear matrix inequalities (LMIs) is given for average consensus of the system by employing a Lyapunov approach, where the communication structures vary over time and the corresponding graphs may not be connected. Finally, simulation results are provided to demonstrate the effectiveness of our theoretical results.