{"title":"迟滞非线性系统采样保持意义下的Lyapunov-Razumikhin镇定方法","authors":"P. Pepe","doi":"10.1137/1.9781611974072.28","DOIUrl":null,"url":null,"abstract":"A new methodology for the design of stabilizers in the sample-and-hold sense for nonlinear retarded systems is provided. It is shown that, if there exist a control LyapunovRazumikhin function and an induced steepest descent state feedback, uniformly in time bounded on bounded subsets of the state space, then such feedback, applied by suitably fast sampling and holding, guarantees practical semiglobal stability, with arbitrary small final target ball of the origin.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"58 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Lyapunov-Razumikhin Methods for Stabilization in the Sample-and-Hold Sense of Retarded Nonlinear Systems\",\"authors\":\"P. Pepe\",\"doi\":\"10.1137/1.9781611974072.28\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new methodology for the design of stabilizers in the sample-and-hold sense for nonlinear retarded systems is provided. It is shown that, if there exist a control LyapunovRazumikhin function and an induced steepest descent state feedback, uniformly in time bounded on bounded subsets of the state space, then such feedback, applied by suitably fast sampling and holding, guarantees practical semiglobal stability, with arbitrary small final target ball of the origin.\",\"PeriodicalId\":193106,\"journal\":{\"name\":\"SIAM Conf. on Control and its Applications\",\"volume\":\"58 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SIAM Conf. on Control and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1137/1.9781611974072.28\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SIAM Conf. on Control and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/1.9781611974072.28","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lyapunov-Razumikhin Methods for Stabilization in the Sample-and-Hold Sense of Retarded Nonlinear Systems
A new methodology for the design of stabilizers in the sample-and-hold sense for nonlinear retarded systems is provided. It is shown that, if there exist a control LyapunovRazumikhin function and an induced steepest descent state feedback, uniformly in time bounded on bounded subsets of the state space, then such feedback, applied by suitably fast sampling and holding, guarantees practical semiglobal stability, with arbitrary small final target ball of the origin.
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