{"title":"一种估计非线性系统稳定区域及设定稳定时间边界的计算机算法","authors":"R. Hilton","doi":"10.1109/AEROCS.1993.720883","DOIUrl":null,"url":null,"abstract":"This paper describes a computer algorithm which accepts nonlinear system differential equations and from them estimates the region of aymptotic stability as well as a set of upper and lower bounds for the amount of time a state may exist in each of a set of subregions. These results are produced by way of a Lyapunov function approximated as a numerical solution of Zubov's equation for the given system.","PeriodicalId":170527,"journal":{"name":"Proceedings. The First IEEE Regional Conference on Aerospace Control Systems,","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Computer Algorithm to Estimate Stability Regions Iind to Place Bounds on Settling Times for Nonlinear Systems\",\"authors\":\"R. Hilton\",\"doi\":\"10.1109/AEROCS.1993.720883\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper describes a computer algorithm which accepts nonlinear system differential equations and from them estimates the region of aymptotic stability as well as a set of upper and lower bounds for the amount of time a state may exist in each of a set of subregions. These results are produced by way of a Lyapunov function approximated as a numerical solution of Zubov's equation for the given system.\",\"PeriodicalId\":170527,\"journal\":{\"name\":\"Proceedings. The First IEEE Regional Conference on Aerospace Control Systems,\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. The First IEEE Regional Conference on Aerospace Control Systems,\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/AEROCS.1993.720883\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. The First IEEE Regional Conference on Aerospace Control Systems,","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AEROCS.1993.720883","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Computer Algorithm to Estimate Stability Regions Iind to Place Bounds on Settling Times for Nonlinear Systems
This paper describes a computer algorithm which accepts nonlinear system differential equations and from them estimates the region of aymptotic stability as well as a set of upper and lower bounds for the amount of time a state may exist in each of a set of subregions. These results are produced by way of a Lyapunov function approximated as a numerical solution of Zubov's equation for the given system.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
