Consensus of Multi-Agent Systems With Unbounded Time-Varying Delays
Consensus of Multi-Agent Systems With Unbounded Time-Varying Delays
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DOI：
10.1109/tac.2010.2054770
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发表时间：
2010-06
影响因子：
6.8
通讯作者：
Xiwei Liu;Wenlian Lu;Tianping Chen
中科院分区：
文献类型：
--
作者：
Xiwei Liu;Wenlian Lu;Tianping Chen
本文研究了线性耦合静态网络的无穷时变时滞一致性问题。延迟只影响连续时间方程中的非对角项。首先，我们定义了有效的共识能力指数。然后，利用图论和共识的新概念，证明了在一定的条件下，网络可以实现共识。最后给出了一个算例，说明了所得结果的有效性。
In this note, the consensus problem with infinite time-varying delays for linearly coupled static network is investigated. The delay affects only the off-diagonal terms in continuous-time equations. At first, we define an effective consensus ability index. Then, by using the graph theory and a new concept of consensus, we prove that under some mild conditions, the network can realize consensus. An example is given to show the validity of obtained results.