{"title":"离散时变系统Lyapunov谱的比例局部可赋值性","authors":"S. Popova, I. Banshchikova","doi":"10.1109/STAB.2018.8408389","DOIUrl":null,"url":null,"abstract":"We investigate the question of the proportional local assignability of the Lyapunov exponents of every system belonging to the Bebutov hull of a given linear control system with discrete time. We have obtained conditions that ensure the equivalence of the uniform complete controllability of a given system and the proportional local assignability of the Lyapunov spectrum of each system from the Bebutov hull of this given system.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On the property of proportional local assignability of the Lyapunov spectrum for discrete time-varying systems\",\"authors\":\"S. Popova, I. Banshchikova\",\"doi\":\"10.1109/STAB.2018.8408389\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the question of the proportional local assignability of the Lyapunov exponents of every system belonging to the Bebutov hull of a given linear control system with discrete time. We have obtained conditions that ensure the equivalence of the uniform complete controllability of a given system and the proportional local assignability of the Lyapunov spectrum of each system from the Bebutov hull of this given system.\",\"PeriodicalId\":395462,\"journal\":{\"name\":\"2018 14th International Conference \\\"Stability and Oscillations of Nonlinear Control Systems\\\" (Pyatnitskiy's Conference) (STAB)\",\"volume\":\"60 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 14th International Conference \\\"Stability and Oscillations of Nonlinear Control Systems\\\" (Pyatnitskiy's Conference) (STAB)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STAB.2018.8408389\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STAB.2018.8408389","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the property of proportional local assignability of the Lyapunov spectrum for discrete time-varying systems
We investigate the question of the proportional local assignability of the Lyapunov exponents of every system belonging to the Bebutov hull of a given linear control system with discrete time. We have obtained conditions that ensure the equivalence of the uniform complete controllability of a given system and the proportional local assignability of the Lyapunov spectrum of each system from the Bebutov hull of this given system.