Robust consensus of multi-agent systems with noise | |
Wang Lin; Liu ZhiXin | |
刊名 | SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES |
2009-05-01 | |
卷号 | 52期号:5页码:824-834 |
关键词 | time-varying systems stochastic matrix robust consensus connectivity exponential stability Vicsek model |
ISSN号 | 1009-2757 |
DOI | 10.1007/s11432-009-0082-0 |
英文摘要 | The consensus problem of multi-agent systems has attracted wide attention from researchers in recent years, following the initial work of Jadbabaie et al. on the analysis of a simplified Vicsek model. While the original Vicsek model contains noise effects, almost all the existing theoretical results on consensus problem, however, do not take the noise effects into account. The purpose of this paper is to initiate a study of the consensus problems under noise disturbances. First, the class of multi-agent systems under study is transformed into a general time-varying system with noise. Then, for such a system, the equivalent relationships are established among (i) robust consensus, (ii) the positivity of the second smallest eigenvalue of a weighted Laplacian matrix, and (iii) the joint connectivity of the associated dynamical neighbor graphs. Finally, this basic equivalence result is shown to be applicable to several classes of concrete multi-agent models with noise. |
资助项目 | National Natural Science Foundation of China[60821091] ; National Natural Science Foundation of China[60804043] ; National Natural Science Foundation of China[60574068] ; Chinese Academy of Sciences[KJCX3-SYW-S01] |
WOS研究方向 | Computer Science |
语种 | 英语 |
出版者 | SCIENCE PRESS |
WOS记录号 | WOS:000266094200009 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7232] |
专题 | 系统科学研究所 |
通讯作者 | Wang Lin |
作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Wang Lin,Liu ZhiXin. Robust consensus of multi-agent systems with noise[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2009,52(5):824-834. |
APA | Wang Lin,&Liu ZhiXin.(2009).Robust consensus of multi-agent systems with noise.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,52(5),824-834. |
MLA | Wang Lin,et al."Robust consensus of multi-agent systems with noise".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 52.5(2009):824-834. |
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