{"title":"用统计综合方法构造用于评估无人机运动稳定性的Lyapunov函数算法","authors":"N. Q. Thuong","doi":"10.1109/EnT-MIPT.2018.00052","DOIUrl":null,"url":null,"abstract":"The article presents an algorithm for constructing Lyapunov functions for assessing the stability of UAV’s motion by the method of statistical synthesis. The result of solving the problem of statistical reconstruction of the Lyapunov function confirms the conditions of stability by the maximization of the Lyapunov function and the minimization of its time derivative through a selection of linear and nonlinear parameters in a generalized exponential polynomial.","PeriodicalId":131975,"journal":{"name":"2018 Engineering and Telecommunication (EnT-MIPT)","volume":"49 7-8","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Algorithm for Constructing Lyapunov Functions for Assessing the Stability of UAV's Motion by the Method of Statistical Synthesis\",\"authors\":\"N. Q. Thuong\",\"doi\":\"10.1109/EnT-MIPT.2018.00052\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article presents an algorithm for constructing Lyapunov functions for assessing the stability of UAV’s motion by the method of statistical synthesis. The result of solving the problem of statistical reconstruction of the Lyapunov function confirms the conditions of stability by the maximization of the Lyapunov function and the minimization of its time derivative through a selection of linear and nonlinear parameters in a generalized exponential polynomial.\",\"PeriodicalId\":131975,\"journal\":{\"name\":\"2018 Engineering and Telecommunication (EnT-MIPT)\",\"volume\":\"49 7-8\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 Engineering and Telecommunication (EnT-MIPT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/EnT-MIPT.2018.00052\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 Engineering and Telecommunication (EnT-MIPT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/EnT-MIPT.2018.00052","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Algorithm for Constructing Lyapunov Functions for Assessing the Stability of UAV's Motion by the Method of Statistical Synthesis
The article presents an algorithm for constructing Lyapunov functions for assessing the stability of UAV’s motion by the method of statistical synthesis. The result of solving the problem of statistical reconstruction of the Lyapunov function confirms the conditions of stability by the maximization of the Lyapunov function and the minimization of its time derivative through a selection of linear and nonlinear parameters in a generalized exponential polynomial.