{"title":"混合非线性系统引力域的计算","authors":"F. Hamidi, M. Abdelkrim","doi":"10.1109/STA.2015.7505224","DOIUrl":null,"url":null,"abstract":"In this paper we discuss the enlargement of the Domain of Attraction (DA) of nonlinear hybrid system. Combination of LMI with Genetic Algorithms (GA) results in a sufficient enlargement of DA. A common Lyapunov function is estimated by the GA and a lower bound is computed by LMI optimization. The proposed approach is validated by a switched van der Pool system.","PeriodicalId":128530,"journal":{"name":"2015 16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computing the domain of attraction for hybrid nonlinear system\",\"authors\":\"F. Hamidi, M. Abdelkrim\",\"doi\":\"10.1109/STA.2015.7505224\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we discuss the enlargement of the Domain of Attraction (DA) of nonlinear hybrid system. Combination of LMI with Genetic Algorithms (GA) results in a sufficient enlargement of DA. A common Lyapunov function is estimated by the GA and a lower bound is computed by LMI optimization. The proposed approach is validated by a switched van der Pool system.\",\"PeriodicalId\":128530,\"journal\":{\"name\":\"2015 16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA)\",\"volume\":\"34 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STA.2015.7505224\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STA.2015.7505224","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Computing the domain of attraction for hybrid nonlinear system
In this paper we discuss the enlargement of the Domain of Attraction (DA) of nonlinear hybrid system. Combination of LMI with Genetic Algorithms (GA) results in a sufficient enlargement of DA. A common Lyapunov function is estimated by the GA and a lower bound is computed by LMI optimization. The proposed approach is validated by a switched van der Pool system.