{"title":"关于广义Lyapunov指数","authors":"A. Czornik, A. Nawrat","doi":"10.1109/MED.2011.5982994","DOIUrl":null,"url":null,"abstract":"In this paper we propose a generalization of the concept of Lyapunov exponents for discrete linear systems which may be used in the case of unbounded coefficients. We show some simplest properties of this generalization an applied it to the problem of stability by linear approximation.","PeriodicalId":146203,"journal":{"name":"2011 19th Mediterranean Conference on Control & Automation (MED)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"On generalized Lyapunov exponents\",\"authors\":\"A. Czornik, A. Nawrat\",\"doi\":\"10.1109/MED.2011.5982994\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we propose a generalization of the concept of Lyapunov exponents for discrete linear systems which may be used in the case of unbounded coefficients. We show some simplest properties of this generalization an applied it to the problem of stability by linear approximation.\",\"PeriodicalId\":146203,\"journal\":{\"name\":\"2011 19th Mediterranean Conference on Control & Automation (MED)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-06-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 19th Mediterranean Conference on Control & Automation (MED)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MED.2011.5982994\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 19th Mediterranean Conference on Control & Automation (MED)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MED.2011.5982994","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we propose a generalization of the concept of Lyapunov exponents for discrete linear systems which may be used in the case of unbounded coefficients. We show some simplest properties of this generalization an applied it to the problem of stability by linear approximation.
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