This paper addresses the consensus problem of linear multiagent systems via nonlinear couplings. First, we show that the multiagent system can achieve consensus via nonlinear couplings provided the coupling strength surpasses a threshold, which depends on the smallest nonzero eigenvalue of the interaction graph Laplacian. Second, an adaptive coupling protocol is proposed to adjust the coupling strength without any usage of global information. Some numerical simulations are given to illustrate the effectiveness of the proposed protocols.

中文翻译：

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具有自适应非线性耦合的线性多智能体系统的分布式一致性控制

本文通过非线性耦合解决了线性多智能体系统的一致性问题。首先，我们表明，如果耦合强度超过阈值，多智能体系统可以通过非线性耦合达成共识，阈值取决于交互图拉普拉斯算子的最小非零特征值。其次，提出了一种自适应耦合协议来在不使用全局信息的情况下调整耦合强度。给出了一些数值模拟来说明所提出的协议的有效性。