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首页> 外文期刊>IEEE transactions on circuits and systems . I , Regular papers >Reverse Group Consensus of Multi-Agent Systems in the Cooperation-Competition Network
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Reverse Group Consensus of Multi-Agent Systems in the Cooperation-Competition Network

机译：合作竞争网络中多Agent系统的逆向群体共识

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摘要

In this paper, a reverse group consensus problem is investigated for the dynamic agents with the inputs in the cooperation-competition network which can be divided into two sub-networks. The weights between the agents in the same sub-network are positive, while the weights between the agents among different sub-networks are negative. Then, the reverse group consensus is firstly studied without the in-degree balance condition. By defining the mirror graph and establishing the solution of the multi-agent system, it is found that the reverse group consensus problem can be achieved if the mirror graph is strongly connected. The explicit expression of the error level is also derived, which would be vanished for multi-agent systems with some special kinds of inputs. Furthermore, as an extension, the decomposing of the cooperation-competition network is discussed, where the concept of the condensation undirected graph and the path balance condition are defined, and several effective sufficient conditions are obtained. Finally, numerical simulation demonstrates the effectiveness of the theoretical analysis.
机译：本文研究了具有合作竞争网络中输入的动态主体的反向群体共识问题，该竞争网络可以分为两个子网络。同一子网中代理之间的权重为正，而不同子网中代理之间的权重为负。然后，首先在没有度内平衡条件的情况下研究反向群体共识。通过定义镜像并建立多主体系统的解决方案，发现如果镜像牢固连接，则可以实现反向组共识问题。还导出了错误级别的显式表达式，对于具有某些特殊类型输入的多智能体系统，该表达式将消失。此外，作为扩展，讨论了合作竞争网络的分解，定义了缩合无向图的概念和路径平衡条件，并获得了几个有效的充分条件。最后，数值模拟证明了理论分析的有效性。

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