Distributed node-to-node consensus of multi-agent systems with time-varying pinning links
Distributed node-to-node consensus of multi-agent systems with time-varying pinning links
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DOI：
10.1016/j.neucom.2014.08.057
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发表时间：
2015-02
期刊：
影响因子：
6
通讯作者：
G. Wen;Wenwu Yu;Jingyao Wang;Dabo Xu;Jinde Cao
中科院分区：
文献类型：
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作者：
G. Wen;Wenwu Yu;Jingyao Wang;Dabo Xu;Jinde Cao
针对一类具有时变钉扎链路的线性多智能体系统，研究了基于相对状态反馈的分布式节点到节点一致性问题。本工作的协调目标是使每个跟随者的状态渐近地跟踪其对应领导者的状态，其中只有一小部分跟随者可以通过一些切换的通信通道来感知其对应领导者的状态。利用弗洛姆矩阵理论和切换系统稳定性分析等工具，从理论上证明了在闭环多智能体系统中，如果每个跟随者在一定的一致有界时间间隔内至少受到一个引导者的直接或间接影响，并且适当地设计了内部耦合矩阵和耦合强度，就可以保证闭环多智能体系统的节点间一致性。研究了具有一般Lipschitz型非线性动力学的多智能体系统的分布式节点到节点一致性问题。最后进行了数值仿真，验证了理论结果的有效性。
In this paper, the distributed node-to-node consensus problem is addressed for a class of linear multi-agent systems with time-varying pinning links by using relative state feedback. The coordination goal in the present work is to make the states of each follower track those of its corresponding leader asymptotically where only a small fraction of followers can sense the states of their corresponding leaders through some switched communication channels. By using tools fromM-matrix theory and stability analysis of switched systems theory, it is theoretically shown that such a node-to-node consensus in the closed-loop multi-agent systems can be guaranteed if each follower can be directly or indirectly influenced by at least one leader over some uniformly bounded time intervals, with the inner coupling matrix as well as the coupling strength being appropriately designed. Distributed node-to-node consensus for multi-agent systems with general Lipschitz-type nonlinear dynamics is also investigated. Numerical simulations are finally performed to verify the effectiveness of the theoretical results.