{"title":"Lyapunov Stability","authors":"H. Khalil","doi":"10.1201/b10384-98","DOIUrl":null,"url":null,"abstract":"Stability theory plays a central role in control theory and engineering. There are different kinds of stability problems that arise in the study of dynamical systems (see Stability theory, Popov and circle criterion, and Input-output stability). This article is concerned with Lyapunov stability. Stability of equilibrium points is defined in Section 2 for autonomous systems and Lyapunov’s theorem is given.","PeriodicalId":131575,"journal":{"name":"The Control Systems Handbook","volume":"63 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"42","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Control Systems Handbook","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/b10384-98","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 42
Abstract
Stability theory plays a central role in control theory and engineering. There are different kinds of stability problems that arise in the study of dynamical systems (see Stability theory, Popov and circle criterion, and Input-output stability). This article is concerned with Lyapunov stability. Stability of equilibrium points is defined in Section 2 for autonomous systems and Lyapunov’s theorem is given.
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