Nikita Shopa, D. Konovalov, A. Kremlev, K. Zimenko
{"title":"非线性广义系统的有限时间稳定性分析","authors":"Nikita Shopa, D. Konovalov, A. Kremlev, K. Zimenko","doi":"10.5220/0011347500003271","DOIUrl":null,"url":null,"abstract":": Sufficient conditions of finite-time stability are presented for the class of nonlinear descriptor systems. Both, explicit and implicit Lyapunov function methods, are extended for finite-time stability analysis of descriptor systems and the corresponding settling time estimates are obtained. The theoretical results are supported by numerical examples.","PeriodicalId":6436,"journal":{"name":"2010 2nd International Asia Conference on Informatics in Control, Automation and Robotics (CAR 2010)","volume":"113 1","pages":"711-716"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Finite-time Stability Analysis for Nonlinear Descriptor Systems\",\"authors\":\"Nikita Shopa, D. Konovalov, A. Kremlev, K. Zimenko\",\"doi\":\"10.5220/0011347500003271\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": Sufficient conditions of finite-time stability are presented for the class of nonlinear descriptor systems. Both, explicit and implicit Lyapunov function methods, are extended for finite-time stability analysis of descriptor systems and the corresponding settling time estimates are obtained. The theoretical results are supported by numerical examples.\",\"PeriodicalId\":6436,\"journal\":{\"name\":\"2010 2nd International Asia Conference on Informatics in Control, Automation and Robotics (CAR 2010)\",\"volume\":\"113 1\",\"pages\":\"711-716\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 2nd International Asia Conference on Informatics in Control, Automation and Robotics (CAR 2010)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5220/0011347500003271\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 2nd International Asia Conference on Informatics in Control, Automation and Robotics (CAR 2010)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5220/0011347500003271","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finite-time Stability Analysis for Nonlinear Descriptor Systems
: Sufficient conditions of finite-time stability are presented for the class of nonlinear descriptor systems. Both, explicit and implicit Lyapunov function methods, are extended for finite-time stability analysis of descriptor systems and the corresponding settling time estimates are obtained. The theoretical results are supported by numerical examples.