{"title":"用李雅普诺夫函数方法分析微分系统的渐近平衡态","authors":"A. Ekimov, M. V. Svirkin","doi":"10.1109/SCP.2015.7342054","DOIUrl":null,"url":null,"abstract":"The present work is devoted to the study of the asymptotic equilibrium state for different classes of linear and nonlinear systems. The second method of Lyapunov is used as a basic research method. On the basis of Zubov Theorem sufficient conditions for the existence of an asymptotic equilibrium state are obtained.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Analysis of asymptotic equilibrium state of differential systems using Lyapunov function method\",\"authors\":\"A. Ekimov, M. V. Svirkin\",\"doi\":\"10.1109/SCP.2015.7342054\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present work is devoted to the study of the asymptotic equilibrium state for different classes of linear and nonlinear systems. The second method of Lyapunov is used as a basic research method. On the basis of Zubov Theorem sufficient conditions for the existence of an asymptotic equilibrium state are obtained.\",\"PeriodicalId\":110366,\"journal\":{\"name\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCP.2015.7342054\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCP.2015.7342054","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis of asymptotic equilibrium state of differential systems using Lyapunov function method
The present work is devoted to the study of the asymptotic equilibrium state for different classes of linear and nonlinear systems. The second method of Lyapunov is used as a basic research method. On the basis of Zubov Theorem sufficient conditions for the existence of an asymptotic equilibrium state are obtained.