多智能体系统二分一致性的研究进展

唐宏安; 夏紫怡; 王丽丹; 段书凯

doi:10.16383/j.aas.c240530

多智能体系统二分一致性的研究进展

doi: 10.16383/j.aas.c240530 cstr: 32138.14.j.aas.c240530

唐宏安^1,,
夏紫怡^1,,
王丽丹^{2, 3, 4, 5,},
段书凯^{2, 3, 4, 5,}

1.
重庆理工大学两江人工智能学院重庆 401135
2.
西南大学人工智能学院重庆 400715
3.
智能传动和控制技术国家地方联合工程研究中心重庆 400715
4.
类脑计算与智能芯片重庆市重点实验室重庆 400715
5.
发光分析与分子传感教育部重点实验室重庆 400715

基金项目: 西南大学创新研究2035先导计划重点研发项目(SWU-XDZD22009), 国家自然科学基金区域联合基金项目(U20A20227), 国家自然科学基金面上项目(62076207、62076208), 国家自然科学基金青年项目(62402298), 重庆英才计划(CQYC20210302257), 重庆市教委科学技术研究项目(KJQN202304109)资助

详细信息

作者简介:
唐宏安：重庆理工大学两江人工智能学院讲师. 2020年获得西南大学计算智能与信息处理博士学位. 主要研究方向为多智能体系统协同控制、智能控制、人工智能和耦合忆阻神经网络. E-mail: tanghongan163@163.com

夏紫怡：重庆理工大学两江人工智能学院硕士研究生. 主要研究方向为多智能体系统协同控制、智能控制和耦合忆阻神经网络. E-mail: xiaziyi0329@163.com

王丽丹：西南大学人工智能学院教授. 2008年获得重庆大学计算机软件与理论博士学位. 主要研究方向为忆阻器件与系统、混沌系统与非线性电路设计、深度学习和数字图像处理. E-mail: ldwang@swu.edu.cn

段书凯：西南大学人工智能学院教授. 2006年获得重庆大学计算机科学博士学位. 主要研究方向为人工智能、类脑芯片、工业机器人、智能控制和仿生信息材料. 本文通信作者. E-mail: duansk@swu.edu.cn

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- 文章访问数: 14
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- 被引次数: 0
出版历程
- 收稿日期: 2024-07-27
- 录用日期: 2024-11-21
- 网络出版日期: 2025-01-25

Research Progress on Bipartite Consensus of Multi-Agent Systems

TANG Hong-An^1
,,
XIA Zi-Yi^1
,,
WANG Li-Dan^{2, 3, 4, 5
,},
DUAN Shu-Kai^{2, 3, 4, 5
,}

1.
School of Artificial Intelligence, Chongqing University of Technology, Chonqing 401135
2.
College of Artificial Intelligence, Southwest University, Chonqing 400715
3.
National and Local Joint Engineering Research Center of Intelligent Transmission and Control Technology, Chonqing 400715
4.
Chongqing Key Laboratory of Brain-inspired Computing and Intelligent Chips, Chonqing 400715
5.
Key Laboratory of Luminescence Analysis and Molecular Sensing, Ministry of Education, Southwest University, Chongqing 400715

Funds: Supported by Key Project of Innovation Research 2035 Pilot Plan of Southwest University (SWU-XDZD22009), National Natural Science Foundation of China (U20A20227, 62076207, 62076208, 62402298), Chongqing Talent Plan (CQYC20210302257) and the Science and Technology Research Program of Chongqing Municipal Education Commission (KJQN202304109)

More Information

Author Bio:
TANG Hong-An　Lecturer at the School of Artificial Intelligence, Chongqing University of Technology. He received his Ph.D. degree in computational intelligence and information processing from Southwest University in 2020. His main research interest covers coordination control of multi-agent systems, intelligent control, artificial intelligence and coupled memristive neural networks

XIA Zi-Yi　Master student at the School of Artificial Intelligence, Chongqing University of Technology. Her main research interest covers coordination control of multi-agent systems, intelligent control and coupled memristive neural networks

WANG Li-Dan　Professor at the College of Artificial Intelligence, Southwest University. She received her Ph.D. degree in computer software and theory from Chongqing University in 2008. Her research interest covers memristive devices and systems, chaotic systems and nonlinear circuit design, deep learning and digital image processing

DUAN Shu-Kai　Professor at the College of Artificial Intelligence, Southwest University. He received his Ph.D. degree in computer science from Chongqing University in 2006. His research interest covers artificial intelligence, brain-inspired chips, industrial robots, intelligent control and bionic information materials. Corresponding author of this paper

摘要

摘要: 多智能体系统是分布式人工智能的重要分支, 主要通过智能体之间的交互与协作完成复杂的任务. 一致性是协同控制的核心问题, 二分一致性作为一致性的延伸受到了广泛关注. 首先, 介绍了一些符号图知识, 给出了一阶、二阶、高阶及分数阶多智能体系统的模型及一些二分一致性的定义. 其次, 概述了这四类多智能体系统多种二分一致性的研究进展. 此外, 分析了有限时间、固定时间和预设时间二分一致性的优势及保守性, 讨论了二分一致性和二分输出一致性的特点. 最后, 对多智能体系统二分一致性进行了总结与展望.
- 二分一致性 /
- 二分输出一致性 /
- 符号图 /
- 多智能体系统
Abstract: As an important branch of distributed artificial intelligence, multi-agent systems achieve complex tasks mainly through interaction and collaboration among agents. Consensus is the core issue of collaborative control. Bipartite consensus has received widespread attention since it is an extension of consensus. Firstly, this paper introduces some knowledge of signed graph and provides models for first-order, second-order, high-order, and fractional-order multi-agent systems, as well as some definitions of bipartite consensus. Secondly, the research progress on multiple bipartite consensus of these four types of multi-agent systems is summarized. In addition, it analyzes the advantages and conservatism of finite-time, fixed-time, and predefined-time bipartite consensus and discusses the characteristics of bipartite consensus and bipartite output consensus. Finally, the summary and outlook on bipartite consensus of multi-agent systems are provided.
- Bipartite consensus /
- bipartite output consensus /
- signed graph /
- multi-agent systems

HTML全文

图 1 多智能体系统拓扑图

Fig. 1 Topology graph of multi-agent systems

下载: 全尺寸图片幻灯片

图 2 $w_{i1}(t)$的状态轨迹, $i=1,\;2,\;\cdots,\;7$

Fig. 2 State trajectories of $w_{i1}(t)$, $i=1,\;2,\;\dots,\;7$

下载: 全尺寸图片幻灯片

图 4 $w_{i2}(t)$的状态轨迹, $i=1,\;2,\;\cdots,\;7$

Fig. 4 State trajectories of $w_{i2}(t)$, $i=1,\;2,\;\dots,\;7$

下载: 全尺寸图片幻灯片

图 3 $v_{11}(t)$的变化过程

Fig. 3 The process of change in $v_{11}(t)$

下载: 全尺寸图片幻灯片

图 5 $v_{12}(t)$的变化过程

Fig. 5 The process of change in $v_{12}(t)$

下载: 全尺寸图片幻灯片

表 1 多智能体二分一致性文献总结

Table 1 Summary of literature on bipartite consensus of multi-agent systems

二分一致性类型	一阶多智能体系统	二阶多智能体系统	高阶多智能体系统	分数阶多智能体系统
渐近二分一致性	[52−57]	[92−98]	[110−113]	[119−121]
有限时间二分一致性	[59−66]	[99−102]
固定时间二分一致性	[67−73]	[32−33]	[37]
预设时间二分一致性	[75−78]	[33, 103−104]	[38]
渐近二分输出一致性	[81−88]	[34]	[116]	[46]
有限时间二分输出一致性	[29, 89]
固定时间二分输出一致性	[30, 90]

下载: 导出CSV

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