{"title":"线性离散系统的不变性压力","authors":"F. Colonius, João A. N. Cossich, A. Santana","doi":"10.1109/ITW44776.2019.8989280","DOIUrl":null,"url":null,"abstract":"For linear control systems in discrete time controllability properties are characterized. In particular, a unique control set with nonvoid interior exists. The main result is a formula for the invariance pressure of this control set.","PeriodicalId":214379,"journal":{"name":"2019 IEEE Information Theory Workshop (ITW)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Invariance pressure for linear discrete-time systems\",\"authors\":\"F. Colonius, João A. N. Cossich, A. Santana\",\"doi\":\"10.1109/ITW44776.2019.8989280\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For linear control systems in discrete time controllability properties are characterized. In particular, a unique control set with nonvoid interior exists. The main result is a formula for the invariance pressure of this control set.\",\"PeriodicalId\":214379,\"journal\":{\"name\":\"2019 IEEE Information Theory Workshop (ITW)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 IEEE Information Theory Workshop (ITW)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ITW44776.2019.8989280\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 IEEE Information Theory Workshop (ITW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITW44776.2019.8989280","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Invariance pressure for linear discrete-time systems
For linear control systems in discrete time controllability properties are characterized. In particular, a unique control set with nonvoid interior exists. The main result is a formula for the invariance pressure of this control set.