Sampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle
文献类型：期刊论文
| 作者 | Li Tao; Zhang JiFeng
|
| 刊名 | SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
 |
| 出版日期 | 2009-11-01 |
| 卷号 | 52期号:11页码:2089-2103 |
| 关键词 | multi-agent systems average consensus stochastic systems sampled-data based control distributed stochastic approximation uncertainty principle |
| ISSN号 | 1009-2757 |
| DOI | 10.1007/s11432-009-0177-7 |
| 英文摘要 | In this paper, sampled-data based average-consensus control is considered for networks consisting of continuous-time first-order integrator agents in a noisy distributed communication environment. The impact of the sampling size and the number of network nodes on the system performances is analyzed. The control input of each agent can only use information measured at the sampling instants from its neighborhood rather than the complete continuous process, and the measurements of its neighbors' states are corrupted by random noises. By probability limit theory and the property of graph Laplacian matrix, it is shown that for a connected network, the static mean square error between the individual state and the average of the initial states of all agents can be made arbitrarily small, provided the sampling size is sufficiently small. Furthermore, by properly choosing the consensus gains, almost sure consensus can be achieved. It is worth pointing out that an uncertainty principle of Gaussian networks is obtained, which implies that in the case of white Gaussian noises, no matter what the sampling size is, the product of the steady-state and transient performance indices is always equal to or larger than a constant depending on the noise intensity, network topology and the number of network nodes. |
| 资助项目 | Singapore Millennium Foundation ; National Natural Science Foundation of China[60821091] ; National Natural Science Foundation of China[60674308] |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000272033000013 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9098]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Zhang JiFeng |
| 作者单位 | Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li Tao,Zhang JiFeng. Sampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2009,52(11):2089-2103. |
| APA | Li Tao,&Zhang JiFeng.(2009).Sampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,52(11),2089-2103. |
| MLA | Li Tao,et al."Sampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 52.11(2009):2089-2103. |
入库方式： OAI收割
来源：数学与系统科学研究院
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