Effects of Measurement Noise on Flocking Dynamics of Cucker-Smale Systems

Understanding the emergence of coordination behavior is of paramount importance in science and engineering. Environmental noise may have important impact on the coordination. In this brief, we consider a variation of the standard Cucker-Smale system in which individuals can not measure the states of...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 67; no. 10; pp. 2064 - 2068
Main Authors Chen, Duxin, Li, Wang, Liu, Xiaolu, Yu, Wenwu, Sun, Yongzheng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.10.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Background noise
Circuits and systems
Collective motion
Convergence
Coordination
Cucker-Smale model
flocking dynamics
Mathematical model
Noise
Noise intensity
Noise measurement
Stochastic processes
Online AccessGet full text
ISSN1549-7747
1558-3791
DOI10.1109/TCSII.2019.2947788

Cover

Abstract Understanding the emergence of coordination behavior is of paramount importance in science and engineering. Environmental noise may have important impact on the coordination. In this brief, we consider a variation of the standard Cucker-Smale system in which individuals can not measure the states of others exactly. We present sufficient conditions on group size, noise intensity and communication rate to guarantee the almost surely exponential convergence toward flocking. We challenge the prevailing paradigm that noise suppressing the emergence of collective motion and report that noise may facilitate the emergence of ordered flocking behavior. We also find that group with high density can reach the ordered state more rapidly.
AbstractList Understanding the emergence of coordination behavior is of paramount importance in science and engineering. Environmental noise may have important impact on the coordination. In this brief, we consider a variation of the standard Cucker-Smale system in which individuals can not measure the states of others exactly. We present sufficient conditions on group size, noise intensity and communication rate to guarantee the almost surely exponential convergence toward flocking. We challenge the prevailing paradigm that noise suppressing the emergence of collective motion and report that noise may facilitate the emergence of ordered flocking behavior. We also find that group with high density can reach the ordered state more rapidly.
Author Sun, Yongzheng
Liu, Xiaolu
Yu, Wenwu
Li, Wang
Chen, Duxin
Author_xml – sequence: 1
  givenname: Duxin
  orcidid: 0000-0002-3194-2258
  surname: Chen
  fullname: Chen, Duxin
  email: chendx@seu.edu.cn
  organization: Jiangsu Key Laboratory of Networked Collective Intelligence, School of Mathematics, Southeast University, Nanjing, China
– sequence: 2
  givenname: Wang
  surname: Li
  fullname: Li, Wang
  email: liwang718@126.com
  organization: School of Mathematics, China University of Mining and Technology, Xuzhou, China
– sequence: 3
  givenname: Xiaolu
  orcidid: 0000-0002-1907-9236
  surname: Liu
  fullname: Liu, Xiaolu
  email: emspc@126.com
  organization: Jiangsu Key Laboratory of Networked Collective Intelligence, School of Mathematics, Southeast University, Nanjing, China
– sequence: 4
  givenname: Wenwu
  orcidid: 0000-0003-3755-179X
  surname: Yu
  fullname: Yu, Wenwu
  organization: Jiangsu Key Laboratory of Networked Collective Intelligence, School of Mathematics, Southeast University, Nanjing, China
– sequence: 5
  givenname: Yongzheng
  orcidid: 0000-0001-9504-5663
  surname: Sun
  fullname: Sun, Yongzheng
  email: yzsung@gmail.com
  organization: School of Mathematics, China University of Mining and Technology, Xuzhou, China
BookMark eNp9kD1PwzAURS1UJErhD8ASiTnFdpzYHlFpIVKBoWWObOcZpU3iYidD_z3phxgYmN4b7rlXOtdo1LoWELojeEoIlo_r2SrPpxQTOaWScS7EBRqTNBVxwiUZHX4mY84Zv0LXIWwwphIndIzyubVguhA5G72BCr2HBtouendVgMi10aJ2Zlu1X9HzvlVNZY7JWW-24ONVo2qIVvvQQRNu0KVVdYDb852gz8V8PXuNlx8v-expGRsq0y5OCbUaC55Z0BmThlJallgwA0JSoUlpVSkSrRRoqTUmRIPBqTFgNbFQ8mSCHk69O---ewhdsXG9b4fJgjKW4WxgsiFFTynjXQgebLHzVaP8viC4OCgrjsqKg7LirGyAxB_IVJ3qKtd2XlX1_-j9Ca0A4HdLCE4SRpMfdDh8hw
CODEN ICSPE5
CitedBy_id crossref_primary_10_1109_TSMC_2020_3019469
crossref_primary_10_3934_naco_2021024
crossref_primary_10_1109_TCSII_2021_3091630
crossref_primary_10_1155_2020_8098421
crossref_primary_10_1109_TCSII_2021_3091484
crossref_primary_10_1109_TSMC_2022_3166779
crossref_primary_10_1109_TSMC_2020_3019519
crossref_primary_10_1109_TCSII_2021_3080313
crossref_primary_10_1109_TCSII_2022_3224207
crossref_primary_10_1109_JSYST_2023_3332601
crossref_primary_10_1109_TNSE_2020_3013528
crossref_primary_10_3934_math_2025292
crossref_primary_10_1209_0295_5075_134_50004
Cites_doi 10.1109/TCSII.2018.2884006
10.1109/TCSI.2016.2564702
10.1137/18M1174143
10.1515/9781400837106
10.4310/CMS.2009.v7.n2.a9
10.1109/TAC.2007.895842
10.1109/TAC.2010.2042355
10.1016/j.automatica.2019.04.031
10.1016/j.physrep.2012.03.004
10.1038/s41586-019-1022-9
10.1109/TCSI.2019.2904747
10.1109/TCSI.2015.2434101
10.1137/090757290
10.1016/j.automatica.2009.04.017
10.1109/TAC.2016.2560144
10.1063/1.3496895
10.1063/1.4958927
10.1109/TCSII.2018.2831922
10.1063/1.4929496
10.1137/15M1030467
10.1016/j.automatica.2018.04.002
10.1007/978-3-662-12616-5
10.1109/MCAS.2019.2924507
10.1103/PhysRevLett.75.1226
10.1109/TCSII.2018.2868422
10.1109/TAC.2016.2631608
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
DBID 97E
RIA
RIE
AAYXX
CITATION
7SP
8FD
L7M
DOI 10.1109/TCSII.2019.2947788
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE/IET Electronic Library (IEL) (UW System Shared)
CrossRef
Electronics & Communications Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Technology Research Database
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
DatabaseTitleList Technology Research Database
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1558-3791
EndPage 2068
ExternalDocumentID 10_1109_TCSII_2019_2947788
8871342
Genre orig-research
GrantInformation_xml – fundername: China Post-Doctoral Science Foundation
  grantid: 2017M621860; 2019T120476
  funderid: 10.13039/501100002858
– fundername: Fundamental Research Funds for the Central Universities
  grantid: 2242019K40111
  funderid: 10.13039/501100012226
– fundername: National Natural Science Foundation of China
  grantid: 61601547; 61903079; 1171101243
  funderid: 10.13039/501100001809
GroupedDBID 0R~
29I
4.4
5VS
6IK
6J9
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACIWK
AETIX
AGQYO
AGSQL
AHBIQ
AIBXA
AKJIK
AKQYR
ALMA_UNASSIGNED_HOLDINGS
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
EBS
EJD
IFIPE
IPLJI
JAVBF
M43
OCL
PZZ
RIA
RIE
RNS
RXW
TAE
TAF
VJK
AAYXX
CITATION
RIG
7SP
8FD
L7M
ID FETCH-LOGICAL-c295t-512fb0876feb649c222dd084ce8928b1dfad83baaeb9bb011bec05ccefb1fed73
IEDL.DBID RIE
ISSN 1549-7747
IngestDate Mon Jun 30 05:35:51 EDT 2025
Tue Jul 01 01:06:41 EDT 2025
Thu Apr 24 23:03:17 EDT 2025
Wed Aug 27 02:50:21 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 10
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
https://doi.org/10.15223/policy-029
https://doi.org/10.15223/policy-037
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c295t-512fb0876feb649c222dd084ce8928b1dfad83baaeb9bb011bec05ccefb1fed73
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-1907-9236
0000-0001-9504-5663
0000-0002-3194-2258
0000-0003-3755-179X
PQID 2446060116
PQPubID 85412
PageCount 5
ParticipantIDs crossref_citationtrail_10_1109_TCSII_2019_2947788
proquest_journals_2446060116
ieee_primary_8871342
crossref_primary_10_1109_TCSII_2019_2947788
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2020-10-01
PublicationDateYYYYMMDD 2020-10-01
PublicationDate_xml – month: 10
  year: 2020
  text: 2020-10-01
  day: 01
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on circuits and systems. II, Express briefs
PublicationTitleAbbrev TCSII
PublicationYear 2020
Publisher IEEE
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml – name: IEEE
– name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References ref13
ref12
ref15
ref14
ref11
ref10
ref2
ref1
ref16
mao (ref26) 2007
ref19
ref18
ref24
ref23
ref25
ref20
ref22
ref21
ref27
ref8
ref7
ref9
ref4
ref3
ref6
ref5
zong (ref17) 2019; 99
References_xml – ident: ref8
  doi: 10.1109/TCSII.2018.2884006
– ident: ref4
  doi: 10.1109/TCSI.2016.2564702
– year: 2007
  ident: ref26
  publication-title: Stochastic Differential Equations and Applications
– ident: ref21
  doi: 10.1137/18M1174143
– ident: ref2
  doi: 10.1515/9781400837106
– ident: ref22
  doi: 10.4310/CMS.2009.v7.n2.a9
– ident: ref9
  doi: 10.1109/TAC.2007.895842
– ident: ref12
  doi: 10.1109/TAC.2010.2042355
– ident: ref13
  doi: 10.1016/j.automatica.2019.04.031
– ident: ref1
  doi: 10.1016/j.physrep.2012.03.004
– ident: ref24
  doi: 10.1038/s41586-019-1022-9
– ident: ref6
  doi: 10.1109/TCSI.2019.2904747
– ident: ref18
  doi: 10.1109/TCSI.2015.2434101
– ident: ref10
  doi: 10.1137/090757290
– ident: ref16
  doi: 10.1016/j.automatica.2009.04.017
– ident: ref19
  doi: 10.1109/TAC.2016.2560144
– ident: ref23
  doi: 10.1063/1.3496895
– ident: ref20
  doi: 10.1063/1.4958927
– ident: ref5
  doi: 10.1109/TCSII.2018.2831922
– ident: ref25
  doi: 10.1063/1.4929496
– ident: ref11
  doi: 10.1137/15M1030467
– volume: 99
  start-page: 412
  year: 2019
  ident: ref17
  article-title: Consensus conditions of continuous-time multi-agent systems with time-delays and measurement noises
  publication-title: Automatica
  doi: 10.1016/j.automatica.2018.04.002
– ident: ref27
  doi: 10.1007/978-3-662-12616-5
– ident: ref15
  doi: 10.1109/MCAS.2019.2924507
– ident: ref3
  doi: 10.1103/PhysRevLett.75.1226
– ident: ref7
  doi: 10.1109/TCSII.2018.2868422
– ident: ref14
  doi: 10.1109/TAC.2016.2631608
SSID ssj0029032
Score 2.3925831
Snippet Understanding the emergence of coordination behavior is of paramount importance in science and engineering. Environmental noise may have important impact on...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 2064
SubjectTerms Background noise
Circuits and systems
Collective motion
Convergence
Coordination
Cucker-Smale model
flocking dynamics
Mathematical model
Noise
Noise intensity
Noise measurement
Stochastic processes
Title Effects of Measurement Noise on Flocking Dynamics of Cucker-Smale Systems
URI https://ieeexplore.ieee.org/document/8871342
https://www.proquest.com/docview/2446060116
Volume 67
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV07T8MwELZKJxh4FUShIA9s4DQPJ45HVKhapHZpK3WLYvsiISBBNF349dhO0iJAiC3DnWTd2ffK3XcIXacxYyBTSbKICUJjH4iImCSRgQmkEDOgZsB5Mo1GC_q4DJctdLuZhQEA23wGjvm0__JVIdemVNbXD8ILqDa4Ozpxq2a1NskVd-0yMoM4piNGypoBGZf354PZeGy6uLjjc8qY3bKydUJ2q8oPU2z9y_AATZqTVW0lz866FI78-Aba-N-jH6L9OtDEd9XNOEItyI_R3hf4wQ4aV9DFK1xkeLKtFeJp8bQCXOR4qD2dKaXj-2pvvaUc2E4MMnvVrgXXgOcnaDF8mA9GpF6tQKTPw5JoN58Jg0aXgYgolzpKUMqNqYSY-7HwVJaqOBBpCoILoW2AVrUbSgmZ8DJQLDhF7bzI4Qzh0M10EhSrUGp-pSzajUdlxKhWiQygi7xG1omsccfN-ouXxOYfLk-sfhKjn6TWTxfdbHjeKtSNP6k7RuAbylrWXdRrVJrUD3OV6GgmMhA0XnT-O9cF2vVNSm379XqoXb6v4VLHHaW4shfuE3ZR090
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT8JAEJ4QPKgHX2hEUffgTQtt2Xa7R4MSUOACJNya7u40MSo1Ui7-ene3BY0a462HmWQzszuvznwDcJlEjKFMpJOGTDg08tERIZNOaGACKUYMqRlwHo7C3pTez4JZBa7XszCIaJvPsGk-7b98lcmlKZW19IPw2lQb3A3t9ykvprXW6RV37ToygzmmY0bKViMyLm9NOuN-3_Rx8abPKWN2z8qnG7J7VX4YY-thurswXJ2taCx5ai5z0ZTv32Ab_3v4PdgpQ01yU9yNfajg_AC2vwAQ1qBfgBcvSJaS4We1kIyyxwWSbE662teZYjq5LTbXW8qO7cVwxi_auZAS8vwQpt27SafnlMsVHOnzIHe0o0-FwaNLUYSUSx0nKOVGVGLE_Uh4Kk1U1BZJgoILoa2AVrYbSImp8FJUrH0E1Xk2x2MggZvqNChSgdT8Slm8G4_KkFGtEtnGOngrWceyRB43CzCeY5uBuDy2-omNfuJSP3W4WvO8Frgbf1LXjMDXlKWs69BYqTQun-Yi1vFMaEBovPDkd64L2OxNhoN40B89nMKWbxJs273XgGr-tsQzHYXk4txevg_BHNct
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Effects+of+Measurement+Noise+on+Flocking+Dynamics+of+Cucker-Smale+Systems&rft.jtitle=IEEE+transactions+on+circuits+and+systems.+II%2C+Express+briefs&rft.au=Chen%2C+Duxin&rft.au=Li%2C+Wang&rft.au=Liu%2C+Xiaolu&rft.au=Yu%2C+Wenwu&rft.date=2020-10-01&rft.pub=IEEE&rft.issn=1549-7747&rft.volume=67&rft.issue=10&rft.spage=2064&rft.epage=2068&rft_id=info:doi/10.1109%2FTCSII.2019.2947788&rft.externalDocID=8871342
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1549-7747&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1549-7747&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1549-7747&client=summon