Stability Criteria for Impulsive Stochastic Functional Differential Systems With Distributed-Delay Dependent Impulsive Effects

In this short note, we consider time-varying stochastic functional differential systems with distributed-delay dependent impulsive effects. Such systems arise from a large number of applications, such as financial markets and population dynamics. By developing some inequality techniques and then com...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 51; no. 3; pp. 2027 - 2032
Main Authors Hu, Wei, Zhu, Quanxin
Format Journal Article
LanguageEnglish
Published New York IEEE 01.03.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Delays
Distributed-delay impulsive effect
Economic indicators
exponential stability
History
Numerical stability
Razumikhin theorem
Stability analysis
Stability criteria
stochastic time-delay system
Online AccessGet full text
ISSN2168-2216
2168-2232
DOI10.1109/TSMC.2019.2905007

Cover

Abstract In this short note, we consider time-varying stochastic functional differential systems with distributed-delay dependent impulsive effects. Such systems arise from a large number of applications, such as financial markets and population dynamics. By developing some inequality techniques and then combining stochastic analysis theory, Lyapunov approach, some stability criteria for such systems are established. The feature of the criteria shows that derivatives of the Razumikhin functions are allowed to be indefinite, and the restrictions with respect to the system parameters is very loose. Finally, we carry out two numerical experiments to show the usefulness and significance of the criteria.
AbstractList In this short note, we consider time-varying stochastic functional differential systems with distributed-delay dependent impulsive effects. Such systems arise from a large number of applications, such as financial markets and population dynamics. By developing some inequality techniques and then combining stochastic analysis theory, Lyapunov approach, some stability criteria for such systems are established. The feature of the criteria shows that derivatives of the Razumikhin functions are allowed to be indefinite, and the restrictions with respect to the system parameters is very loose. Finally, we carry out two numerical experiments to show the usefulness and significance of the criteria.
Author Zhu, Quanxin
Hu, Wei
Author_xml – sequence: 1
  givenname: Wei
  orcidid: 0000-0003-3458-3825
  surname: Hu
  fullname: Hu, Wei
  organization: MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, China
– sequence: 2
  givenname: Quanxin
  orcidid: 0000-0003-3130-4923
  surname: Zhu
  fullname: Zhu, Quanxin
  email: zqx22@126.com
  organization: MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, China
BookMark eNp9kEtLAzEUhYNUsNb-AHEz4HpqHtPMZCl9qKC4qOJyuMncwZTpTE0yQjf-dlNaRFxIFskl5zuXc87JoO1aJOSS0QljVN28rJ5mE06ZmnBFp5TmJ2TImSxSzgUf_LyZPCNj79eUUsYLKagckq9VAG0bG3bJzNmAzkJSdy552Gz7xttPTFahM-_ggzXJsm9NsF0LTTK3dY0O22DjsNr5gBufvNnwHn98cFb3Aat0jg3skjlusa2i9pfrIuIm-AtyWkPjcXy8R-R1uXiZ3aePz3cPs9vH1HAlQgpgWA5TQMqgMlPgqCsttdZCVjFybqTKtRSKsypjlYrHaJUBBVEIhTmIEbk--G5d99GjD-W6610M4kueKVpQlsVFI5IfVMZ13jusS2MD7BMHB7YpGS33fZf7vst93-Wx70iyP-TW2Q243b_M1YGxiPijL2Q-zVQmvgHv8pCL
CODEN ITSMFE
CitedBy_id crossref_primary_10_1109_TAC_2023_3335005
crossref_primary_10_1016_j_jfranklin_2019_11_040
crossref_primary_10_1109_TSMC_2024_3388026
crossref_primary_10_1080_15325008_2024_2311880
crossref_primary_10_1109_TSMC_2020_2965091
crossref_primary_10_1109_TNSE_2023_3300907
crossref_primary_10_1109_TAC_2024_3433068
crossref_primary_10_1109_TSMC_2019_2963398
crossref_primary_10_1109_TSMC_2023_3285034
crossref_primary_10_12677_PM_2021_116135
crossref_primary_10_3934_math_2022345
crossref_primary_10_1109_ACCESS_2021_3085757
crossref_primary_10_1109_TSMC_2022_3200710
crossref_primary_10_3934_mbe_2023200
crossref_primary_10_3934_mbe_2023926
crossref_primary_10_1002_rnc_5783
crossref_primary_10_1016_j_sysconle_2019_104606
crossref_primary_10_1002_rnc_7321
crossref_primary_10_1109_ACCESS_2021_3102071
crossref_primary_10_1109_TSMC_2024_3373625
crossref_primary_10_3934_mbe_2023757
crossref_primary_10_1109_TSMC_2022_3212882
crossref_primary_10_3934_math_20231354
Cites_doi 10.1016/j.neucom.2014.01.018
10.1016/j.ins.2018.10.054
10.1016/j.automatica.2018.04.016
10.1109/TSMC.2017.2719629
10.1016/j.cnsns.2013.10.008
10.1109/TAC.2016.2554284
10.1109/TAC.2010.2074251
10.1016/j.sysconle.2018.07.012
10.1016/j.cnsns.2012.12.001
10.1016/j.automatica.2005.04.012
10.1109/TAC.2010.2060173
10.1016/j.jfranklin.2014.04.001
10.1109/CDC.2015.7402473
10.1016/j.sysconle.2017.10.008
10.1142/p473
10.1016/j.automatica.2014.10.095
10.1109/TNNLS.2017.2696582
10.1109/TAC.2017.2660066
10.1109/TCSI.2018.2857771
10.1080/00207179.2016.1219069
10.1109/TAC.2011.2159889
10.1109/TAC.2010.2049775
10.1016/j.sysconle.2007.10.009
10.1063/1.3638037
10.1109/TNNLS.2011.2182659
10.1007/s11253-017-1426-3
10.1016/j.aml.2010.10.001
10.1109/TSMC.2016.2609147
10.1109/TSMC.2016.2527627
10.1049/iet-cta.2017.0181
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2021
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2021
DBID 97E
RIA
RIE
AAYXX
CITATION
7SC
7SP
7TB
8FD
FR3
H8D
JQ2
L7M
L~C
L~D
DOI 10.1109/TSMC.2019.2905007
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Computer and Information Systems Abstracts
Electronics & Communications Abstracts
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
Aerospace Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Aerospace Database
Technology Research Database
Computer and Information Systems Abstracts – Academic
Mechanical & Transportation Engineering Abstracts
Electronics & Communications Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
DatabaseTitleList Aerospace 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 2168-2232
EndPage 2032
ExternalDocumentID 10_1109_TSMC_2019_2905007
8675494
Genre orig-research
GrantInformation_xml – fundername: Natural Science Foundation of Jiangsu Province
  grantid: BK20161552
  funderid: 10.13039/501100004608
– fundername: Scientific Research Fund of Hunan Provincial Education Department
  grantid: 18A013
  funderid: 10.13039/100009377
– fundername: National Natural Science Foundation of China
  grantid: 61773217; 61374080
  funderid: 10.13039/501100001809
– fundername: Construct Program of the Key Discipline in Hunan Province
  funderid: 10.13039/501100005225
GroupedDBID 0R~
6IK
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACGFS
ACIWK
AGQYO
AGSQL
AHBIQ
AKJIK
AKQYR
ALMA_UNASSIGNED_HOLDINGS
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
EBS
EJD
HZ~
IFIPE
IPLJI
JAVBF
M43
O9-
OCL
PQQKQ
RIA
RIE
RNS
AAYXX
CITATION
RIG
7SC
7SP
7TB
8FD
FR3
H8D
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c293t-aac17a5ae01adc5a2ebdb6bbb36d2907c697b63921d41d9d9dcb94a0a3839e7a3
IEDL.DBID RIE
ISSN 2168-2216
IngestDate Sun Jun 29 15:28:50 EDT 2025
Tue Jul 01 02:29:11 EDT 2025
Thu Apr 24 22:53:59 EDT 2025
Wed Aug 27 05:45:04 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 3
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-c293t-aac17a5ae01adc5a2ebdb6bbb36d2907c697b63921d41d9d9dcb94a0a3839e7a3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0003-3130-4923
0000-0003-3458-3825
PQID 2490801429
PQPubID 75739
PageCount 6
ParticipantIDs ieee_primary_8675494
proquest_journals_2490801429
crossref_primary_10_1109_TSMC_2019_2905007
crossref_citationtrail_10_1109_TSMC_2019_2905007
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2021-03-01
PublicationDateYYYYMMDD 2021-03-01
PublicationDate_xml – month: 03
  year: 2021
  text: 2021-03-01
  day: 01
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on systems, man, and cybernetics. Systems
PublicationTitleAbbrev TSMC
PublicationYear 2021
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
ref31
ref30
ref11
ref10
ref2
ref1
ref17
ref16
ref19
ref18
ref24
ref23
ref26
ref25
zhu (ref29) 2012; 23
ref20
ref22
ref21
ref28
ref27
ref8
ref7
ref9
ref3
ref6
ref5
hu (ref4) 2018
References_xml – ident: ref28
  doi: 10.1016/j.neucom.2014.01.018
– ident: ref5
  doi: 10.1016/j.ins.2018.10.054
– ident: ref23
  doi: 10.1016/j.automatica.2018.04.016
– ident: ref16
  doi: 10.1109/TSMC.2017.2719629
– ident: ref2
  doi: 10.1016/j.cnsns.2013.10.008
– ident: ref25
  doi: 10.1109/TAC.2016.2554284
– ident: ref14
  doi: 10.1109/TAC.2010.2074251
– ident: ref9
  doi: 10.1016/j.sysconle.2018.07.012
– ident: ref22
  doi: 10.1016/j.cnsns.2012.12.001
– ident: ref6
  doi: 10.1016/j.automatica.2005.04.012
– start-page: 1
  year: 2018
  ident: ref4
  article-title: Moment exponential stability of stochastic nonlinear delay systems with impulse effects at random times
  publication-title: Int J Robust Nonlin Control
– ident: ref24
  doi: 10.1109/TAC.2010.2060173
– ident: ref31
  doi: 10.1016/j.jfranklin.2014.04.001
– ident: ref10
  doi: 10.1109/CDC.2015.7402473
– ident: ref1
  doi: 10.1016/j.sysconle.2017.10.008
– ident: ref11
  doi: 10.1142/p473
– ident: ref7
  doi: 10.1016/j.automatica.2014.10.095
– ident: ref20
  doi: 10.1109/TNNLS.2017.2696582
– ident: ref13
  doi: 10.1109/TAC.2017.2660066
– ident: ref17
  doi: 10.1109/TCSI.2018.2857771
– ident: ref30
  doi: 10.1080/00207179.2016.1219069
– ident: ref18
  doi: 10.1109/TAC.2011.2159889
– ident: ref15
  doi: 10.1109/TAC.2010.2049775
– ident: ref12
  doi: 10.1016/j.sysconle.2007.10.009
– ident: ref21
  doi: 10.1063/1.3638037
– volume: 23
  start-page: 467
  year: 2012
  ident: ref29
  article-title: Stability analysis of Markovian jump stochastic BAM neural networks with impulse control and mixed time delays
  publication-title: IEEE Trans Neural Netw Learn Syst
  doi: 10.1109/TNNLS.2011.2182659
– ident: ref3
  doi: 10.1007/s11253-017-1426-3
– ident: ref8
  doi: 10.1016/j.aml.2010.10.001
– ident: ref19
  doi: 10.1109/TSMC.2016.2609147
– ident: ref26
  doi: 10.1109/TSMC.2016.2527627
– ident: ref27
  doi: 10.1049/iet-cta.2017.0181
SSID ssj0001286306
Score 2.4362552
Snippet In this short note, we consider time-varying stochastic functional differential systems with distributed-delay dependent impulsive effects. Such systems arise...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 2027
SubjectTerms Delays
Distributed-delay impulsive effect
Economic indicators
exponential stability
History
Numerical stability
Razumikhin theorem
Stability analysis
Stability criteria
stochastic time-delay system
Title Stability Criteria for Impulsive Stochastic Functional Differential Systems With Distributed-Delay Dependent Impulsive Effects
URI https://ieeexplore.ieee.org/document/8675494
https://www.proquest.com/docview/2490801429
Volume 51
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3PS8MwFH6oJz34W5xOycGT2NmkP3OUzaHCvKjorbykEcW5Ddcd9ODf7kuajaEiUiiFpiX0vSbfy3v5PoAjkaDOs1gGXBoKUCKZBygTDDhN3XnyGMbabaTtXacXd_HVQ_KwACezvTDGGFd8Zlr20uXyy6Ge2KWy05zQbSzjRVgkN6v3as2tp-Rp5KQ0BU_J-HT2SUweytPbm17b1nHJlpBhElrx2LlpyOmq_BiM3QzTXYPetG91YclLa1Kplv74Rtv4386vw6qHmuys9o0NWDCDTViZIyDcgk_Cmq469p1ZzQPrjYxQLLt8HU36trCd3VRD_YSWzJl1aQqsVw5Zx8uq0PDQZ570nN0_V090Z1xraJky6Jg-vrOOl9mt5t5acyaPt-Gue37bvgi8IkOgCRZUAaLmGSZoQo6lTlAYVapUKRWlJX3YTKcyU4R5BC9jXko6tJIxhkhxsDQZRjuwNBgOzC4wmw8UJcEvlSM5hKJxAyPzGGeW75mjbEA4NVChPV25Vc3oFy5sCWVhbVpYmxbepg04nj0yqrk6_mq8ZW00a-jN04Dm1AsK_zePC2GzoxRLCrn3-1P7sCxsrYurTWvCUvU2MQcEVip16Lz0C4ZS54k
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3PT9swFH4CdhgcxhhDdPyYDztNS4kd54ePiFKVQblQBLfo2TECUVq0pgd24G_n2XGrakMIRYoixYmsvBe_79nP3wfwQ6RoilyqiCtLCUqiighVihGn0F2kN7E0fiNt_zzrXcrf1-n1Evya74Wx1vriM9t2l34tvxqbqZsqOygI3Uoll-EDxX2ZNru1FmZUiizxYpqCZ2R-OodlTB6rg8FF_8hVcqm2UHEaO_nYhUDklVX-G459jOmuQ3_Wu6a05L49rXXb_P2HuPG93f8MnwLYZIeNd2zAkh19gbUFCsJNeCa06etjn5hTPXD-yAjHspOHx-nQlbazi3psbtHRObMuBcFm7pB1grAKDRBDFmjP2dVdfUt3Jo2Klq2ijh3iE-sEod164a0Na_LkK1x2jwdHvShoMkSGgEEdIRqeY4o25liZFIXVlc601klW0YfNTaZyTahH8EryStFhtJIYI2XCyuaYbMHKaDyy28DciqCoCIDpAsklNI0cmNgbmTvGZ46qBfHMQKUJhOVON2NY-sQlVqWzaelsWgabtuDn_JHHhq3jrcabzkbzhsE8LdideUEZ_udJKdz6KGWTQn17_anv8LE36J-VZyfnpzuwKlzli69U24WV-s_U7hF0qfW-99gXx8nq1g
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=Stability+Criteria+for+Impulsive+Stochastic+Functional+Differential+Systems+With+Distributed-Delay+Dependent+Impulsive+Effects&rft.jtitle=IEEE+transactions+on+systems%2C+man%2C+and+cybernetics.+Systems&rft.au=Hu%2C+Wei&rft.au=Zhu%2C+Quanxin&rft.date=2021-03-01&rft.pub=The+Institute+of+Electrical+and+Electronics+Engineers%2C+Inc.+%28IEEE%29&rft.issn=2168-2216&rft.eissn=2168-2232&rft.volume=51&rft.issue=3&rft.spage=2027&rft_id=info:doi/10.1109%2FTSMC.2019.2905007&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2168-2216&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2168-2216&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2168-2216&client=summon