{"title":"非线性车辆弦的二维稳定性分析","authors":"S. Knorn, R. Middleton","doi":"10.1109/CDC.2013.6760814","DOIUrl":null,"url":null,"abstract":"Stability of nonlinear 2D continuous-discrete systems is shown using Lyapunov stability theory and iISS. The proposed stability conditions are applicable with non-positive divergence of the Lyapunov function. The results are used to rigorously prove string stability of a nonlinear vehicle string with variable time headway.","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Two-dimensional analysis of string stability of nonlinear vehicle strings\",\"authors\":\"S. Knorn, R. Middleton\",\"doi\":\"10.1109/CDC.2013.6760814\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Stability of nonlinear 2D continuous-discrete systems is shown using Lyapunov stability theory and iISS. The proposed stability conditions are applicable with non-positive divergence of the Lyapunov function. The results are used to rigorously prove string stability of a nonlinear vehicle string with variable time headway.\",\"PeriodicalId\":415568,\"journal\":{\"name\":\"52nd IEEE Conference on Decision and Control\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"52nd IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2013.6760814\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"52nd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2013.6760814","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Two-dimensional analysis of string stability of nonlinear vehicle strings
Stability of nonlinear 2D continuous-discrete systems is shown using Lyapunov stability theory and iISS. The proposed stability conditions are applicable with non-positive divergence of the Lyapunov function. The results are used to rigorously prove string stability of a nonlinear vehicle string with variable time headway.
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