{"title":"非线性二次系统的镇定","authors":"A. Bose, A. Cover, J. Reneke","doi":"10.1109/SSST.1993.522793","DOIUrl":null,"url":null,"abstract":"The authors consider the nonlinear quadratic control system Mdw/dt=Aw+f(w)+g(w, u), where M and A are 3/spl times/3 matrices and, for a fixed m-vector u, f(w) and g(w,u) are quadratic in the 3-vector w=(x, y, z)'. Several theorems and examples that explore the relationship between the quadratic function and the matrices that are involved are presented.","PeriodicalId":260036,"journal":{"name":"1993 (25th) Southeastern Symposium on System Theory","volume":"91 4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stabilization of nonlinear quadratic systems\",\"authors\":\"A. Bose, A. Cover, J. Reneke\",\"doi\":\"10.1109/SSST.1993.522793\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors consider the nonlinear quadratic control system Mdw/dt=Aw+f(w)+g(w, u), where M and A are 3/spl times/3 matrices and, for a fixed m-vector u, f(w) and g(w,u) are quadratic in the 3-vector w=(x, y, z)'. Several theorems and examples that explore the relationship between the quadratic function and the matrices that are involved are presented.\",\"PeriodicalId\":260036,\"journal\":{\"name\":\"1993 (25th) Southeastern Symposium on System Theory\",\"volume\":\"91 4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1993 (25th) Southeastern Symposium on System Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SSST.1993.522793\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1993 (25th) Southeastern Symposium on System Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.1993.522793","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
考虑非线性二次控制系统Mdw/dt=Aw+f(w)+g(w, u)，其中M和A是3/ sp1 × /3矩阵，对于固定的M向量u, f(w)和g(w,u)在3向量w=(x, y, z)'中是二次的。几个定理和例子探讨了二次函数和所涉及的矩阵之间的关系。
The authors consider the nonlinear quadratic control system Mdw/dt=Aw+f(w)+g(w, u), where M and A are 3/spl times/3 matrices and, for a fixed m-vector u, f(w) and g(w,u) are quadratic in the 3-vector w=(x, y, z)'. Several theorems and examples that explore the relationship between the quadratic function and the matrices that are involved are presented.
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