{"title":"公共二次Lyapunov函数的一个推广结果","authors":"Yongge Wen, Yongchi Zhao","doi":"10.1109/ICCASE.2011.5997799","DOIUrl":null,"url":null,"abstract":"In this paper, two strong common quadratic Lyapunov functions(CQLF) is presented for sets of linear time-invariant time. We prove strictly diagonally dominant negative matrix and real symmetric negative matrix as stable dynamical systems which is exists solution of CQLF, and numerical results are given to illustrate derived results.","PeriodicalId":369749,"journal":{"name":"2011 International Conference on Control, Automation and Systems Engineering (CASE)","volume":"49 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Extension Result on Common Quadratic Lyapunov Functions\",\"authors\":\"Yongge Wen, Yongchi Zhao\",\"doi\":\"10.1109/ICCASE.2011.5997799\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, two strong common quadratic Lyapunov functions(CQLF) is presented for sets of linear time-invariant time. We prove strictly diagonally dominant negative matrix and real symmetric negative matrix as stable dynamical systems which is exists solution of CQLF, and numerical results are given to illustrate derived results.\",\"PeriodicalId\":369749,\"journal\":{\"name\":\"2011 International Conference on Control, Automation and Systems Engineering (CASE)\",\"volume\":\"49 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 International Conference on Control, Automation and Systems Engineering (CASE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCASE.2011.5997799\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Control, Automation and Systems Engineering (CASE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCASE.2011.5997799","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Extension Result on Common Quadratic Lyapunov Functions
In this paper, two strong common quadratic Lyapunov functions(CQLF) is presented for sets of linear time-invariant time. We prove strictly diagonally dominant negative matrix and real symmetric negative matrix as stable dynamical systems which is exists solution of CQLF, and numerical results are given to illustrate derived results.