Bipartite consensus of general linear multi-agent systems
Bipartite consensus of general linear multi-agent systems
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DOI：
10.1109/acc.2014.6858991
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发表时间：
2014-06
期刊：
影响因子：
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通讯作者：
Hongwei Zhang;Jie Chen
中科院分区：
文献类型：
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作者：
Hongwei Zhang;Jie Chen
多智能体系统在符号图上的集体行为在包括社交网络、捕食者-被捕食者动态等多种场景中有着广泛的应用，然而这些场景在非负图上还没有得到充分的研究.本文研究了符号有向图上一般线性多智能体系统的二部一致性问题。首先，我们证明了对于一般的线性主体，符号图上的二部共识和非负图上的普通共识是等价的。这表明非负图的普遍一致性控制器可以用来解决二部一致性问题。在此基础上，将现有的基于Riccati方程的协同跟踪控制器推广到一般线性系统的二部一致性问题。
Collective behaviors of multi-agent systems over signed graphs find applications in a variety of scenarios including social networks, predator-prey dynamics, which however have not been adequately addressed as their counterparts with nonnegative graphs. This paper studies bipartite consensus problem of general linear multi-agent systems over signed digraphs. First, we show that for general linear agents, bipartite consensus over signed graphs and ordinary consensus over nonnegative graphs are equivalent. This indicates that prevailing consensus controllers for nonnegative graphs can be adopted to solve bipartite consensus problems. Based on this observation, an existing Riccati equation based cooperative tracking controller is extended to solve the bipartite consensus problem for general linear systems.