{"title":"Criteria for finite-time stability of singular large-scale discrete-time delay systems","authors":"Thi-Huong Pham, Huu-Du Hoang, Hong-Ngoc Nguyen","doi":"10.56764/hpu2.jos.2023.2.2.11-21","DOIUrl":null,"url":null,"abstract":"This paper concerns a problem of finite-time stability for a class of linear singular large-scale systems with delays. Based on matrix transformations, Lyapunov function method combined with new estimation techniques, we derive sufficient conditions for solving the finite-time stability of the system. A numerical example is given to illustrate the validity and effectiveness of the theoretical results.","PeriodicalId":496749,"journal":{"name":"HPU2 Journal of Science Natural Sciences and Technology","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"HPU2 Journal of Science Natural Sciences and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56764/hpu2.jos.2023.2.2.11-21","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
This paper concerns a problem of finite-time stability for a class of linear singular large-scale systems with delays. Based on matrix transformations, Lyapunov function method combined with new estimation techniques, we derive sufficient conditions for solving the finite-time stability of the system. A numerical example is given to illustrate the validity and effectiveness of the theoretical results.