线性离散一致性系统均方偏差上界

窦全胜; 厉玉蓉; 姜平

doi:10.11959/j.issn.1000-436x.2016193

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线性离散一致性系统均方偏差上界

学术论文 | 更新时间：2024-06-05

- 线性离散一致性系统均方偏差上界
- Upper bound of mean-square deviation of discrete linear consensus system
- 通信学报 2016年37卷第10期页码：33-39
- 作者机构：
  
  1. 山东工商学院计算机科学与技术学院，山东烟台 264005
  2. 山东省车联网工程技术中心，山东烟台 264005
- 作者简介：
  
  [ "窦全胜（1971-），男，黑龙江大庆人，博士，山东工商学院教授，主要研究方向为智能计算和复杂自适应系统。" ]
  [ "厉玉蓉（1975-），女，黑龙江牡丹江人，博士，山东工商学院教授，主要研究方向为计算几何及最优化理论等。" ]
  [ "姜平（1979-），男，山东烟台人，山东工商学院副教授，主要研究方向为图形图像处理。" ]
- 基金信息：
  
  国家自然科学基金资助项目(61272244);国家自然科学基金资助项目(61672327);国家自然科学基金资助项目(71471103);国家重点基础研究发展计划（“973”计划）基金资助项目(2013CB329502);山东省自然科学基金资助项目(ZR2014FL007）)
- DOI：10.11959/j.issn.1000-436x.2016193
  中图分类号： TP301.6
- 网络出版日期：2016-10，
  
  纸质出版日期：2016-10-25
- 稿件说明：
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窦全胜, 厉玉蓉, 姜平. 线性离散一致性系统均方偏差上界[J]. 通信学报, 2016,37(10):33-39.

Quan-sheng DOU, Yu-rong LI, Ping JIANG. Upper bound of mean-square deviation of discrete linear consensus system[J]. Journal on communications, 2016, 37(10): 33-39.
窦全胜, 厉玉蓉, 姜平. 线性离散一致性系统均方偏差上界[J]. 通信学报, 2016,37(10):33-39. DOI： 10.11959/j.issn.1000-436x.2016193.

Quan-sheng DOU, Yu-rong LI, Ping JIANG. Upper bound of mean-square deviation of discrete linear consensus system[J]. Journal on communications, 2016, 37(10): 33-39. DOI： 10.11959/j.issn.1000-436x.2016193.

摘要

一致性问题是多智能体协同控制的基础，有广泛的应用背景。之前的研究已经给出了线性一致性协议实现均方一致的充分条件，在此基础上，对线性离散均方一致性问题进行了更加深入的讨论，以图论和随机分析为基础，进一步给出并严格证明线性离散均方一致性问题噪声偏差的上界，同时以4种不同的网络拓扑为例，对所提理论结果进行了说明。结论将为线性离散一致性系统的噪声估计和控制提供理论依据。

Abstract

The consistency problem is the basis of cooperative control of multi-agents

and has wide application background.The previous research has given the sufficient condition for the linear consistency protocol to realize mean-square consistency problem .Based on graph theory and random analysis

the noise-deviation upper bound of linear discrete mean-square consistency problem was strictly proved further

at the same time

four different network were used as examples to explain the theoretical results.The conclusion provides theoretical basis for the noise evaluation and control of the linear discrete consistency system.

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references

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