中文摘要：

本文研究了一类多智能体系统在牵制控制下的群一致性问题,提出了融合群内信息交互、群间信息交互和牵制控制器的一致性协议.对固定拓扑下的二群组智能体系统和切换拓扑下的多群组智能体系统,利用稳定性理论和图论分别给出了适用于任意拓扑结构的充要条件,使得智能体系统在所提协议和牵制控制器的联合作用下实现预期的群一致.针对拓扑图中含有生成树这一特例,分析了被施加牵制控制的智能体在拓扑结构中的具体位置.此外,对切换拓扑下进行非线性交互的多群组智能体系统,利用Lyapunov方法推导出一充分条件,得出只要对多智能体系统的一部分主体进行牵制控制,则所有智能体即可在所提协议和牵制控制器的作用下渐近收敛于各自的期望一致平衡点.最后,仿真例子验证了所提方法的有效性.

英文摘要：

In dealing with the group consensus problem of multi-agent systems via pinning control, we propose a consensus protocol combining the in-group information exchange, the out-group information exchange with the pinning controller for reaching more than one anticipative stationary state. By using stability and graph theories, we derive the necessary and sufficient conditions for the couple-group agent system in fixed topology and the mufti-group agent system in switching topologies, respectively, such that all the agents can achieve their own consistent states asymptotically. Specially, the relation between the controlled agents and the interactive topology is analyzed for the case when the topology graph has a spanning tree. Moreover, based on the Lyapunov function method, a sufficient condition is derived for multi-group agent systems with nonlinear transmission to asymptotically reach several anticipative consistent states in switching topologies. The obtained results imply that the anticipative group consensus can be achieved if a fraction of them are controlled. Illustrative examples are provided to demonstrate the effectiveness of the proposed methods.