Consensus problem with faster convergence rate of consensus problem has been considered in this paper. Adding more edges such as that connecting each agent and its second-nearest neighbor or changing the consensus protocol such as mixing asymptotic terms and terms of finite-time has been proved to be possible ways in increasing the convergence rate of multi-agent system in this paper. Based on analysis of Laplacian matrix, increasing of the convergence rate has been proved using the second-smallest eigenvalue for the first method. Concerning the second method, advantages of asymptotic consensus protocol and finite-time consensus protocol have been mixed together with the help of homogeneity function and theory of Lyapunov. Simulation results using matlab are also presented to illustrate the newly designed consensus protocols in increasing the convergence rate.

中文翻译：

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具有更高收敛速度的多智能体系统的分布式共识

本文考虑了具有更快收敛速度​​的共识问题的共识问题。添加更多边，例如连接每个代理及其第二近邻或更改共识协议，例如混合渐近项和有限时间项，已被证明是提高多代理系统收敛速度的可能方法。纸。基于对拉普拉斯矩阵的分析，证明了第一种方法使用次小特征值可以提高收敛速度。对于第二种方法，在齐次函数和李雅普诺夫理论的帮助下，渐近共识协议和有限时间共识协议的优点被混合在一起。