In this paper, group consensus of second-order multi-agent systems with nonlinear dynamics is investigated. First, we design the distributed protocols for achieving group consensus, in which the strengths of the interactions among the agents are enhanced through tuning the coupling strengths. Further, taking the difference of the edges among agents into account, edge-based distributed protocols through tuning coupling weights of a fraction of edges are designed. Remarkably, only the edges of spanning tree in each group are pinned and the coupling strengths or weights of pinned edges are enhanced according to the updated laws. Both the types of distributed protocols are proved analytically and verified by numerical illustrations.

中文翻译：

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非线性动力学二阶多智能体系统中的群共识

本文研究了具有非线性动力学的二阶多智能体系统的群共识。首先，我们设计了实现群体共识的分布式协议，其中通过调整耦合强度来增强代理之间的交互强度。此外，考虑到代理之间边缘的差异，通过调整一小部分边缘的耦合权重，设计了基于边缘的分布式协议。值得注意的是，每个组中只有生成树的边被固定，并且固定边的耦合强度或权重根据更新的规律得到增强。两种类型的分布式协议都经过分析证明，并通过数值说明进行验证。