{"title":"线性时变系统的充分必要稳定性判据","authors":"J.J. Zhu","doi":"10.1109/SSST.1996.493482","DOIUrl":null,"url":null,"abstract":"In this paper a necessary and sufficient exponential stability criterion is presented for linear time-varying (LTV) systems based on a previously developed parallel D-spectrum concept. This new result is a corrected version of some previously published results, where an important condition has been overlooked. Extensions of the new result to the assessment of exponential stability using a series D-spectrum, and the assessment of asymptotic stability using a relative-mean concept for the PD- and SD-eigenvalues are also discussed.","PeriodicalId":135973,"journal":{"name":"Proceedings of 28th Southeastern Symposium on System Theory","volume":"72 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"49","resultStr":"{\"title\":\"A necessary and sufficient stability criterion for linear time-varying systems\",\"authors\":\"J.J. Zhu\",\"doi\":\"10.1109/SSST.1996.493482\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper a necessary and sufficient exponential stability criterion is presented for linear time-varying (LTV) systems based on a previously developed parallel D-spectrum concept. This new result is a corrected version of some previously published results, where an important condition has been overlooked. Extensions of the new result to the assessment of exponential stability using a series D-spectrum, and the assessment of asymptotic stability using a relative-mean concept for the PD- and SD-eigenvalues are also discussed.\",\"PeriodicalId\":135973,\"journal\":{\"name\":\"Proceedings of 28th Southeastern Symposium on System Theory\",\"volume\":\"72 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"49\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 28th Southeastern Symposium on System Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SSST.1996.493482\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 28th Southeastern Symposium on System Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.1996.493482","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A necessary and sufficient stability criterion for linear time-varying systems
In this paper a necessary and sufficient exponential stability criterion is presented for linear time-varying (LTV) systems based on a previously developed parallel D-spectrum concept. This new result is a corrected version of some previously published results, where an important condition has been overlooked. Extensions of the new result to the assessment of exponential stability using a series D-spectrum, and the assessment of asymptotic stability using a relative-mean concept for the PD- and SD-eigenvalues are also discussed.
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