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Boundary stabilization of stochastic delay reaction-diffusion systems

  • Harbin Institute of Technology Weihai

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

Abstract

This paper considers the boundary stabilization of stochastic delay reaction-diffusion systems(SDRDSs). We present the integral-form Lyapunov stability lemma for SDRDSs which provides the foundation of stability analysis for stochastic reaction-diffusion systems. Then, we design a boundary controller and obtain a criterion to guarantee the globally stochastically asymptotical stability of SDRDSs with Neumann boundary conditions. In addition, when the external disturbances enter in a given systems, we design a boundary controller and get the sufficient condition for the mean-square H performance. Two numerical examples verifying the validity of the results are obtained in this paper.

Original languageEnglish
Title of host publicationProceedings of the 36th Chinese Control Conference, CCC 2017
EditorsTao Liu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages1745-1749
Number of pages5
ISBN (Electronic)9789881563934
DOIs
StatePublished - 7 Sep 2017
Externally publishedYes
Event36th Chinese Control Conference, CCC 2017 - Dalian, China
Duration: 26 Jul 201728 Jul 2017

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference36th Chinese Control Conference, CCC 2017
Country/TerritoryChina
CityDalian
Period26/07/1728/07/17

Keywords

  • Boundary Control
  • Delay
  • H Infinity Performance
  • Stabilization
  • Stochastic Reaction-Diffusion Systems

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