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随机干扰情形下多自主体系统的一致性

Consensus of multi-agent systems in random disturbance
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摘要 文章研究了具有一般通信拓扑和带有随机通信噪声的多自主体系统的一致性问题。为了克服随机噪声的影响,该文设计了随机分布式协议。在该协议下,该文基于广义代数连通性,利用微分方程稳定性理论、矩阵分析、随机分析方法以及图论相关知识,得到了多自主体系统达到均方一致的充分条件以及最终收敛状态;最后通过仿真验证了结果的有效性。 This paper is concerned with the consensus problem of the multi-agent systems with measurement stochastic noises under the general communication topology. The distributed control protocol is proposed to decrease the effects of random noise. The sufficient conditions and the final convergence of the mean square consensus of the multi-agent systems are derived by using the stability theory of differential equations, matrix analysis, stochastic analysis method and the graph theory, which are based on the generalized algebraic connectivity. Finally, an example is given to show the effectiveness of this theory.
作者 郇路路 柏晓明 李慧民 HUAN Lulu;BAI Xiaoming;LI Huimin(School of Mathematics,Hefei University of Technology,Hefei 230601,China)
出处 《合肥工业大学学报(自然科学版)》 CAS 北大核心 2019年第12期1719-1724,共6页 Journal of Hefei University of Technology:Natural Science
基金 国家自然科学基金资助项目(11771295)
关键词 多自主体系统 均方一致性 随机噪声 一般通信拓扑 multi-agent systems mean square consensus stochastic noises general communication topology
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