{"title":"非线性离散时间系统平衡点的部分实现","authors":"S. Monaco, D. Normand-Cyrot","doi":"10.1109/CDC.1984.272278","DOIUrl":null,"url":null,"abstract":"It is shown that the truncated Volterra series of a nonlinear analytic discrete-time system initialized at an equilibrium point can be realized by a polynomial affine system: i.e. a system which is polinomial in the input and affine in the state.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Partial realization of a nonlinear discrete-time system from an equilibrium point\",\"authors\":\"S. Monaco, D. Normand-Cyrot\",\"doi\":\"10.1109/CDC.1984.272278\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that the truncated Volterra series of a nonlinear analytic discrete-time system initialized at an equilibrium point can be realized by a polynomial affine system: i.e. a system which is polinomial in the input and affine in the state.\",\"PeriodicalId\":269680,\"journal\":{\"name\":\"The 23rd IEEE Conference on Decision and Control\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1984-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 23rd IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1984.272278\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 23rd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1984.272278","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Partial realization of a nonlinear discrete-time system from an equilibrium point
It is shown that the truncated Volterra series of a nonlinear analytic discrete-time system initialized at an equilibrium point can be realized by a polynomial affine system: i.e. a system which is polinomial in the input and affine in the state.