{"title":"具有小向量非线性的广义非线性R. Brockett积分器的可达集内估计","authors":"Aboubacar Moussa, A. O. Manga","doi":"10.12988/NADE.2013.13010","DOIUrl":null,"url":null,"abstract":"In this paper the generalized nonlinear R. Brockett integrator with small vector nonlinear addition to the rigth-hand side of the corresponding differential equations is considered. More precisely, we investigate the possibility to estimate from within the corresponding reachable set. We obtain some ellipsoidal estimation from within in an efficient form.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Estimation from within of the Reachable Set of Generalized Nonlinear R. Brockett Integrator with Small Vector Nonlinearity\",\"authors\":\"Aboubacar Moussa, A. O. Manga\",\"doi\":\"10.12988/NADE.2013.13010\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper the generalized nonlinear R. Brockett integrator with small vector nonlinear addition to the rigth-hand side of the corresponding differential equations is considered. More precisely, we investigate the possibility to estimate from within the corresponding reachable set. We obtain some ellipsoidal estimation from within in an efficient form.\",\"PeriodicalId\":315586,\"journal\":{\"name\":\"Nonlinear Analysis and Differential Equations\",\"volume\":\"55 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/NADE.2013.13010\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2013.13010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Estimation from within of the Reachable Set of Generalized Nonlinear R. Brockett Integrator with Small Vector Nonlinearity
In this paper the generalized nonlinear R. Brockett integrator with small vector nonlinear addition to the rigth-hand side of the corresponding differential equations is considered. More precisely, we investigate the possibility to estimate from within the corresponding reachable set. We obtain some ellipsoidal estimation from within in an efficient form.