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Finite-time stabilization of stochastic delay reaction-diffusion systems

  • Harbin Institute of Technology Weihai

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

Abstract

In this paper, the problem of finite-time stabilization of stochastic delay reaction-diffusion systems (SDRDSs) is investigated. The finite-time controller is designed without using the sign function. Then, applying the stochastic finite-time stability lemma, utilizing Lyapunov-Krasoviskii functional method and Itö formula, a sufficient condition is derived which guarantees the finite-time stabilization of the stochastic delay reaction-diffusion systems under the designed controller. The effect of the spatial domain on the finite-time stabilization can also be observed from this sufficient condition. At last, an example is offered to verify the effectiveness of the controller.

Original languageEnglish
Title of host publicationProceedings of the 35th Chinese Control Conference, CCC 2016
EditorsJie Chen, Qianchuan Zhao, Jie Chen
PublisherIEEE Computer Society
Pages1713-1716
Number of pages4
ISBN (Electronic)9789881563910
DOIs
StatePublished - 26 Aug 2016
Externally publishedYes
Event35th Chinese Control Conference, CCC 2016 - Chengdu, China
Duration: 27 Jul 201629 Jul 2016

Publication series

NameChinese Control Conference, CCC
Volume2016-August
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference35th Chinese Control Conference, CCC 2016
Country/TerritoryChina
CityChengdu
Period27/07/1629/07/16

Keywords

  • Stochastic
  • delay
  • finite-time
  • reaction-diffusion
  • stabilization

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