{"title":"松弛不变性原理及其应用","authors":"M. Slemrod","doi":"10.1109/CDC.1988.194333","DOIUrl":null,"url":null,"abstract":"The author describes a novel infinite-dimensional approach to the LaSalle invariance principle. The main idea is that the method avoids the troublesome search for precompactness of orbits that often makes stability analysis of hyperbolic like initial-boundary value problems difficult. The method is quite general and would seem to be applicable to problems in feedback control of aeroelastic-like structures with weak damping.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The 'relaxed invariance principle' and its applications\",\"authors\":\"M. Slemrod\",\"doi\":\"10.1109/CDC.1988.194333\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The author describes a novel infinite-dimensional approach to the LaSalle invariance principle. The main idea is that the method avoids the troublesome search for precompactness of orbits that often makes stability analysis of hyperbolic like initial-boundary value problems difficult. The method is quite general and would seem to be applicable to problems in feedback control of aeroelastic-like structures with weak damping.<<ETX>>\",\"PeriodicalId\":113534,\"journal\":{\"name\":\"Proceedings of the 27th IEEE Conference on Decision and Control\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 27th IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1988.194333\",\"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 the 27th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1988.194333","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The 'relaxed invariance principle' and its applications
The author describes a novel infinite-dimensional approach to the LaSalle invariance principle. The main idea is that the method avoids the troublesome search for precompactness of orbits that often makes stability analysis of hyperbolic like initial-boundary value problems difficult. The method is quite general and would seem to be applicable to problems in feedback control of aeroelastic-like structures with weak damping.<>