{"title":"奇异系统的慢速和快速稳定性","authors":"J. Cobb","doi":"10.1109/CDC.1984.272334","DOIUrl":null,"url":null,"abstract":"We consider the problem of robust feedback control of LTI systems in the presence of parasitics. An essential related concept is that of fast stability -- a type of stability characterizing parasitics or high-frequency effects. A rigorous definition of fast stability is formulated in terms of topologies on a certain differentiable manifold and is connected with the robust feedback problem. A generic solution is given along with illustrative examples.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"82 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Slow and fast stability in singular systems\",\"authors\":\"J. Cobb\",\"doi\":\"10.1109/CDC.1984.272334\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the problem of robust feedback control of LTI systems in the presence of parasitics. An essential related concept is that of fast stability -- a type of stability characterizing parasitics or high-frequency effects. A rigorous definition of fast stability is formulated in terms of topologies on a certain differentiable manifold and is connected with the robust feedback problem. A generic solution is given along with illustrative examples.\",\"PeriodicalId\":269680,\"journal\":{\"name\":\"The 23rd IEEE Conference on Decision and Control\",\"volume\":\"82 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1984-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 23rd IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1984.272334\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 23rd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1984.272334","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We consider the problem of robust feedback control of LTI systems in the presence of parasitics. An essential related concept is that of fast stability -- a type of stability characterizing parasitics or high-frequency effects. A rigorous definition of fast stability is formulated in terms of topologies on a certain differentiable manifold and is connected with the robust feedback problem. A generic solution is given along with illustrative examples.
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