{"title":"非线性多项式系统的稳定控制:LMI方法","authors":"H. Ayadi, E. B. Braiek","doi":"10.1109/ICIT.2004.1490811","DOIUrl":null,"url":null,"abstract":"In this paper we present a new approach for the stabilisation of non linear polynomial systems within the framework of linear matrix inequalities (LMI). The major objective is to show how a non linear polynomial state feedback can be formulated to stabilize the polynomial systems using the LMI approach. The proposed result is based on previous results on the global stability of autonomous non linear polynomial systems.","PeriodicalId":136064,"journal":{"name":"2004 IEEE International Conference on Industrial Technology, 2004. IEEE ICIT '04.","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A stabilizing control of non linear polynomial systems: an LMI approach\",\"authors\":\"H. Ayadi, E. B. Braiek\",\"doi\":\"10.1109/ICIT.2004.1490811\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we present a new approach for the stabilisation of non linear polynomial systems within the framework of linear matrix inequalities (LMI). The major objective is to show how a non linear polynomial state feedback can be formulated to stabilize the polynomial systems using the LMI approach. The proposed result is based on previous results on the global stability of autonomous non linear polynomial systems.\",\"PeriodicalId\":136064,\"journal\":{\"name\":\"2004 IEEE International Conference on Industrial Technology, 2004. IEEE ICIT '04.\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-12-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2004 IEEE International Conference on Industrial Technology, 2004. IEEE ICIT '04.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIT.2004.1490811\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2004 IEEE International Conference on Industrial Technology, 2004. IEEE ICIT '04.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIT.2004.1490811","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A stabilizing control of non linear polynomial systems: an LMI approach
In this paper we present a new approach for the stabilisation of non linear polynomial systems within the framework of linear matrix inequalities (LMI). The major objective is to show how a non linear polynomial state feedback can be formulated to stabilize the polynomial systems using the LMI approach. The proposed result is based on previous results on the global stability of autonomous non linear polynomial systems.