{"title":"切换齐次系统的稳定性","authors":"Dong Zhao, Hao Yang, B. Jiang","doi":"10.1109/ICCA.2017.8003103","DOIUrl":null,"url":null,"abstract":"In this paper, the robustness of a class of homo-geneous systems is investigated, in which a relation among the high-order term, the converging rate and the stability region of the system is explicitly established. Such a new observation facilitates to establish several robust stabilization conditions for switched homogeneous systems with high-order terms. Several stability regions related to exponential, finite-time and rational stability properties of the switched system are provided.","PeriodicalId":379025,"journal":{"name":"2017 13th IEEE International Conference on Control & Automation (ICCA)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On stability of switched homogeneous systems\",\"authors\":\"Dong Zhao, Hao Yang, B. Jiang\",\"doi\":\"10.1109/ICCA.2017.8003103\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the robustness of a class of homo-geneous systems is investigated, in which a relation among the high-order term, the converging rate and the stability region of the system is explicitly established. Such a new observation facilitates to establish several robust stabilization conditions for switched homogeneous systems with high-order terms. Several stability regions related to exponential, finite-time and rational stability properties of the switched system are provided.\",\"PeriodicalId\":379025,\"journal\":{\"name\":\"2017 13th IEEE International Conference on Control & Automation (ICCA)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 13th IEEE International Conference on Control & Automation (ICCA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCA.2017.8003103\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 13th IEEE International Conference on Control & Automation (ICCA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCA.2017.8003103","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, the robustness of a class of homo-geneous systems is investigated, in which a relation among the high-order term, the converging rate and the stability region of the system is explicitly established. Such a new observation facilitates to establish several robust stabilization conditions for switched homogeneous systems with high-order terms. Several stability regions related to exponential, finite-time and rational stability properties of the switched system are provided.
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