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Mean square H- synchronization of coupled nonlinear delay stochastic partial differential systems

  • Kai Ning Wu*
  • , Ya Nan Zhu
  • , Hui Liu
  • , Yu Yao
  • *Corresponding author for this work
  • Harbin Institute of Technology Weihai
  • Weihai Vocational College
  • Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper considers the synchronization problem for the coupled nonlinear delay stochastic partial differential systems (SPDSs), both mean square asymptotical synchronization and mean square H- synchronization are studied. Making use of the Lyapunov-Krasoviskii functional method and Itö formula, sufficient conditions are derived which guarantee the mean square asymptotical synchronization of the coupled nonlinear delay SPDSs. When the external disturbances appear in the coupled nonlinear delay SPDSs, the mean square H- synchronization is dealt with and sufficient criterion is provided. Finally, numerical examples are given to illustrate the correctness of our results.

Original languageEnglish
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
EditorsShengyuan Xu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages2745-2750
Number of pages6
ISBN (Electronic)9789881563842
DOIs
StatePublished - 11 Sep 2014
Externally publishedYes
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: 28 Jul 201430 Jul 2014

Publication series

NameProceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

ConferenceProceedings of the 33rd Chinese Control Conference, CCC 2014
Country/TerritoryChina
CityNanjing
Period28/07/1430/07/14

Keywords

  • H synchronization
  • Lyapunove-Krosaviskii functional
  • Stochastic partial differential systems
  • delay
  • mean square asymptotical synchronization

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