{"title":"基于Lyapunov泛函的状态延迟系统的稳定性","authors":"Y. Suh, M. Lee","doi":"10.1109/ISIE.1999.796788","DOIUrl":null,"url":null,"abstract":"Stability of state delay systems is discussed by investigating properties of a Lyapunov functional. Firstly finite characterization of a Lyapunov functional equation for state delay systems is proposed. The finite characterization can be computed using a matrix exponential function, while conventional computation has been relied on numerical approximations. Secondly based on the finite characterization, a stability condition for state delay systems with unknown but bounded constant delay is proposed.","PeriodicalId":227402,"journal":{"name":"ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Stability of state delay systems based on a Lyapunov functional\",\"authors\":\"Y. Suh, M. Lee\",\"doi\":\"10.1109/ISIE.1999.796788\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Stability of state delay systems is discussed by investigating properties of a Lyapunov functional. Firstly finite characterization of a Lyapunov functional equation for state delay systems is proposed. The finite characterization can be computed using a matrix exponential function, while conventional computation has been relied on numerical approximations. Secondly based on the finite characterization, a stability condition for state delay systems with unknown but bounded constant delay is proposed.\",\"PeriodicalId\":227402,\"journal\":{\"name\":\"ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)\",\"volume\":\"38 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIE.1999.796788\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIE.1999.796788","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability of state delay systems based on a Lyapunov functional
Stability of state delay systems is discussed by investigating properties of a Lyapunov functional. Firstly finite characterization of a Lyapunov functional equation for state delay systems is proposed. The finite characterization can be computed using a matrix exponential function, while conventional computation has been relied on numerical approximations. Secondly based on the finite characterization, a stability condition for state delay systems with unknown but bounded constant delay is proposed.
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