Stochastic consensus of continuous-time multi-agent systems with additive measurement noises

Xiaofeng Zong; Tao Li; Ji Feng Zhang

doi:10.1109/CDC.2015.7402285

Stochastic consensus of continuous-time multi-agent systems with additive measurement noises

Xiaofeng Zong
, Tao Li^*
, Ji Feng Zhang

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

10 Scopus citations

Abstract

This work is concerned with stochastic consensus of multi-agent systems with additive measurement noises, where the information exchange among agents is described by a directed graph. By combining the algebraic graph theory, matrix theory and stochastic analysis, the stochastic weak and strong consensus are examined. For the case with general digraphs, we give the necessary and sufficient conditions for the almost sure strong consensus and show that the mean square strong consensus and almost sure strong consensus are equivalent. We also give some necessary conditions and sufficient conditions for the mean square and almost sure weak consensus. Especially, the necessary and sufficient conditions for the mean square weak consensus are given for the case with undirected graphs.

Original language	English
Title of host publication	54rd IEEE Conference on Decision and Control,CDC 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	543-548
Number of pages	6
ISBN (Electronic)	9781479978861
DOIs	https://doi.org/10.1109/CDC.2015.7402285
State	Published - 8 Feb 2015
Externally published	Yes
Event	54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: 15 Dec 2015 → 18 Dec 2015

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	54th IEEE Conference on Decision and Control, CDC 2015
Country/Territory	Japan
City	Osaka
Period	15/12/15 → 18/12/15

Access to Document

10.1109/CDC.2015.7402285

Cite this

Zong, X., Li, T., & Zhang, J. F. (2015). Stochastic consensus of continuous-time multi-agent systems with additive measurement noises. In 54rd IEEE Conference on Decision and Control,CDC 2015 (pp. 543-548). Article 7402285 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7402285

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title = "Stochastic consensus of continuous-time multi-agent systems with additive measurement noises",

abstract = "This work is concerned with stochastic consensus of multi-agent systems with additive measurement noises, where the information exchange among agents is described by a directed graph. By combining the algebraic graph theory, matrix theory and stochastic analysis, the stochastic weak and strong consensus are examined. For the case with general digraphs, we give the necessary and sufficient conditions for the almost sure strong consensus and show that the mean square strong consensus and almost sure strong consensus are equivalent. We also give some necessary conditions and sufficient conditions for the mean square and almost sure weak consensus. Especially, the necessary and sufficient conditions for the mean square weak consensus are given for the case with undirected graphs.",

author = "Xiaofeng Zong and Tao Li and Zhang, \{Ji Feng\}",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 54th IEEE Conference on Decision and Control, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",

year = "2015",

month = feb,

day = "8",

doi = "10.1109/CDC.2015.7402285",

language = "英语",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "543--548",

booktitle = "54rd IEEE Conference on Decision and Control,CDC 2015",

address = "美国",

}

Zong, X, Li, T & Zhang, JF 2015, Stochastic consensus of continuous-time multi-agent systems with additive measurement noises. in 54rd IEEE Conference on Decision and Control,CDC 2015., 7402285, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 543-548, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 15/12/15. https://doi.org/10.1109/CDC.2015.7402285

Stochastic consensus of continuous-time multi-agent systems with additive measurement noises. / Zong, Xiaofeng; Li, Tao; Zhang, Ji Feng.
54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 543-548 7402285 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Zong, Xiaofeng

AU - Li, Tao

AU - Zhang, Ji Feng

PY - 2015/2/8

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N2 - This work is concerned with stochastic consensus of multi-agent systems with additive measurement noises, where the information exchange among agents is described by a directed graph. By combining the algebraic graph theory, matrix theory and stochastic analysis, the stochastic weak and strong consensus are examined. For the case with general digraphs, we give the necessary and sufficient conditions for the almost sure strong consensus and show that the mean square strong consensus and almost sure strong consensus are equivalent. We also give some necessary conditions and sufficient conditions for the mean square and almost sure weak consensus. Especially, the necessary and sufficient conditions for the mean square weak consensus are given for the case with undirected graphs.

AB - This work is concerned with stochastic consensus of multi-agent systems with additive measurement noises, where the information exchange among agents is described by a directed graph. By combining the algebraic graph theory, matrix theory and stochastic analysis, the stochastic weak and strong consensus are examined. For the case with general digraphs, we give the necessary and sufficient conditions for the almost sure strong consensus and show that the mean square strong consensus and almost sure strong consensus are equivalent. We also give some necessary conditions and sufficient conditions for the mean square and almost sure weak consensus. Especially, the necessary and sufficient conditions for the mean square weak consensus are given for the case with undirected graphs.

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DO - 10.1109/CDC.2015.7402285

M3 - 会议稿件

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T3 - Proceedings of the IEEE Conference on Decision and Control

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BT - 54rd IEEE Conference on Decision and Control,CDC 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 54th IEEE Conference on Decision and Control, CDC 2015

Y2 - 15 December 2015 through 18 December 2015

ER -

Stochastic consensus of continuous-time multi-agent systems with additive measurement noises

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