{"title":"具有状态饱和的连续三维系统稳定性分析","authors":"Dongyan Chen, Yanhui Ding, Yujing Shi","doi":"10.1109/WCICA.2012.6358078","DOIUrl":null,"url":null,"abstract":"This paper concerns sufficient conditions of globally asymptotical stability at origin for three-dimensional continuous-time linear systems with state saturation. Through the judgment of the existence of equilibrium points distinct from the origin and the existence of steady orbital periodic solutions in the limited area, sufficient conditions for three-dimensional continuous-time linear systems with state saturation to be globally asymptotically stable are given.","PeriodicalId":114901,"journal":{"name":"Proceedings of the 10th World Congress on Intelligent Control and Automation","volume":"65 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability analysis for continuous-time three-dimensional systems with state saturation\",\"authors\":\"Dongyan Chen, Yanhui Ding, Yujing Shi\",\"doi\":\"10.1109/WCICA.2012.6358078\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper concerns sufficient conditions of globally asymptotical stability at origin for three-dimensional continuous-time linear systems with state saturation. Through the judgment of the existence of equilibrium points distinct from the origin and the existence of steady orbital periodic solutions in the limited area, sufficient conditions for three-dimensional continuous-time linear systems with state saturation to be globally asymptotically stable are given.\",\"PeriodicalId\":114901,\"journal\":{\"name\":\"Proceedings of the 10th World Congress on Intelligent Control and Automation\",\"volume\":\"65 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-07-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 10th World Congress on Intelligent Control and Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WCICA.2012.6358078\",\"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 10th World Congress on Intelligent Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WCICA.2012.6358078","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability analysis for continuous-time three-dimensional systems with state saturation
This paper concerns sufficient conditions of globally asymptotical stability at origin for three-dimensional continuous-time linear systems with state saturation. Through the judgment of the existence of equilibrium points distinct from the origin and the existence of steady orbital periodic solutions in the limited area, sufficient conditions for three-dimensional continuous-time linear systems with state saturation to be globally asymptotically stable are given.