{"title":"一类非光滑上三角系统的全局有限时间镇定","authors":"Weisong Tian, C. Qian, Lin Chai, J. Zhai","doi":"10.3182/20130902-3-CN-3020.00093","DOIUrl":null,"url":null,"abstract":"Abstract This paper studies the problem of global finite-time stabilization of a class of nonsmooth upper-triangular systems with relaxed conditions on the nonlinearities. Inspired by the controller design methods in Qian and Lin (2012), a finite-time stabilizer and a new Lyapunov function are recursively constructed in a bottom-to-up manner.","PeriodicalId":90521,"journal":{"name":"IEEE International Conference on Systems Biology : [proceedings]. IEEE International Conference on Systems Biology","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Global Finite-Time Stabilization of a Class of Non-Smooth Upper-Triangular Systems\",\"authors\":\"Weisong Tian, C. Qian, Lin Chai, J. Zhai\",\"doi\":\"10.3182/20130902-3-CN-3020.00093\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract This paper studies the problem of global finite-time stabilization of a class of nonsmooth upper-triangular systems with relaxed conditions on the nonlinearities. Inspired by the controller design methods in Qian and Lin (2012), a finite-time stabilizer and a new Lyapunov function are recursively constructed in a bottom-to-up manner.\",\"PeriodicalId\":90521,\"journal\":{\"name\":\"IEEE International Conference on Systems Biology : [proceedings]. IEEE International Conference on Systems Biology\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE International Conference on Systems Biology : [proceedings]. IEEE International Conference on Systems Biology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3182/20130902-3-CN-3020.00093\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE International Conference on Systems Biology : [proceedings]. IEEE International Conference on Systems Biology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3182/20130902-3-CN-3020.00093","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Global Finite-Time Stabilization of a Class of Non-Smooth Upper-Triangular Systems
Abstract This paper studies the problem of global finite-time stabilization of a class of nonsmooth upper-triangular systems with relaxed conditions on the nonlinearities. Inspired by the controller design methods in Qian and Lin (2012), a finite-time stabilizer and a new Lyapunov function are recursively constructed in a bottom-to-up manner.