{"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}
引用次数: 0
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.
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