多时滞影响下多智能体网络的分组一致性

doi:10.16182/j.issn1004731x.joss.201804010

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (4): 1287-1293.doi: 10.16182/j.issn1004731x.joss.201804010

多时滞影响下多智能体网络的分组一致性

纪良浩, 赵新月

重庆市计算智能重点实验室,重庆邮电大学,重庆 400065

收稿日期:2016-05-18 修回日期:2016-10-18 出版日期:2018-04-08 发布日期:2019-01-04
作者简介:纪良浩(1977-),男,湖北武汉,博士,教授,研究方向为智能信息处理,复杂系统与复杂网络等。
基金资助:
国家自然科学基金(61472464, 61572091, 61673080),重庆市基础与前沿研究(cstc2014jcyjA400 47), 重庆市教委科学技术研究(KJ1400429)

Group Consensus of Multi-agent Networks with Multiple Time Delays

Ji Lianghao, Zhao Xinyue

Chongqing key laboratory of Computational Intelligence, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received:2016-05-18 Revised:2016-10-18 Online:2018-04-08 Published:2019-01-04

摘要/Abstract

摘要： 针对具有不同拓扑结构的一阶、二阶多智能体网络,基于频域控制理论,分别研究了其在多时滞影响下的分组一致性问题,分析并给出系统渐近实现分组一致的代数条件判据。研究发现多智能体网络分组一致的实现要同时受到节点自身输入时滞以及节点间耦合权重的影响,与节点间的通信时滞无关,但会影响系统的收敛速度。仿真实验的结果进一步验证了理论分析所得结论的正确性与有效性。

关键词: 时滞, 分组一致性, 多智能体网络, 复杂网络

Abstract: The group consensus problems for first-order and second-order multi-agent networks with multiple time delays are investigated respectively. Based on the theory of frequency-domain, some algebraic criteria are analytically proposed, which can guarantee the achievement of group consensus. The results show that the input time delays, the coupling weights and the coupling strengths between the agents play key roles in reaching group consensus, whereas communication time delays can only affect the convergence rate of the systems. The validity of the results is verified by several simulated examples.

Key words: time delays, group consensus, multi-agent networks, complex networks

中图分类号:

TP13

纪良浩, 赵新月. 多时滞影响下多智能体网络的分组一致性[J]. 系统仿真学报, 2018, 30(4): 1287-1293.

Ji Lianghao, Zhao Xinyue. Group Consensus of Multi-agent Networks with Multiple Time Delays[J]. Journal of System Simulation, 2018, 30(4): 1287-1293.

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多时滞影响下多智能体网络的分组一致性

Group Consensus of Multi-agent Networks with Multiple Time Delays

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