{"title":"Exponential stability of solution for the Kuramoto-Sivashinsky equation","authors":"Qimin Zhang","doi":"10.1109/WCICA.2008.4594318","DOIUrl":null,"url":null,"abstract":"In this paper, we discuss the exponential stability, for a class of stochastic Kuramoto-Sivashinsky equation. The analyses consist of using Ito formula, Burkholder-Davis-Gundy inequality, Gronwall lemma and the criteria is also obtained for the exponential stability.","PeriodicalId":377192,"journal":{"name":"2008 7th World Congress on Intelligent Control and Automation","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 7th World Congress on Intelligent Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WCICA.2008.4594318","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we discuss the exponential stability, for a class of stochastic Kuramoto-Sivashinsky equation. The analyses consist of using Ito formula, Burkholder-Davis-Gundy inequality, Gronwall lemma and the criteria is also obtained for the exponential stability.