{"title":"具有相称时滞的时滞微分系统渐近稳定性的一个代数检验","authors":"S. Foda, P. Agathoklis","doi":"10.1109/PACRIM.1991.160763","DOIUrl":null,"url":null,"abstract":"An algebraic test for asymptotic stability independent of delay for delay differential systems is presented. The test is developed using the Kronecker product formulation of the frequency dependent Lyapunov equation for delay differential systems. Sufficient conditions for asymptotic stability independent of delay are shown to be equivalent to testing the eigenvalues of a set of constant matrices. Numerical aspects of the algorithms are also discussed.<<ETX>>","PeriodicalId":289986,"journal":{"name":"[1991] IEEE Pacific Rim Conference on Communications, Computers and Signal Processing Conference Proceedings","volume":"90 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"An algebraic test for asymptotic stability of delay differential systems with commensurate delays\",\"authors\":\"S. Foda, P. Agathoklis\",\"doi\":\"10.1109/PACRIM.1991.160763\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An algebraic test for asymptotic stability independent of delay for delay differential systems is presented. The test is developed using the Kronecker product formulation of the frequency dependent Lyapunov equation for delay differential systems. Sufficient conditions for asymptotic stability independent of delay are shown to be equivalent to testing the eigenvalues of a set of constant matrices. Numerical aspects of the algorithms are also discussed.<<ETX>>\",\"PeriodicalId\":289986,\"journal\":{\"name\":\"[1991] IEEE Pacific Rim Conference on Communications, Computers and Signal Processing Conference Proceedings\",\"volume\":\"90 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1991] IEEE Pacific Rim Conference on Communications, Computers and Signal Processing Conference Proceedings\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PACRIM.1991.160763\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1991] IEEE Pacific Rim Conference on Communications, Computers and Signal Processing Conference Proceedings","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PACRIM.1991.160763","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An algebraic test for asymptotic stability of delay differential systems with commensurate delays
An algebraic test for asymptotic stability independent of delay for delay differential systems is presented. The test is developed using the Kronecker product formulation of the frequency dependent Lyapunov equation for delay differential systems. Sufficient conditions for asymptotic stability independent of delay are shown to be equivalent to testing the eigenvalues of a set of constant matrices. Numerical aspects of the algorithms are also discussed.<>
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