{"title":"非线性时滞机械系统Lyapunov-Krasovskii泛函的构造","authors":"A. Aleksandrov","doi":"10.1109/STAB49150.2020.9140569","DOIUrl":null,"url":null,"abstract":"New constructions of Lyapunov–Krasovskii functionals are proposed for certain classes of nonlinear mechanical systems with delay. With the aid of these functionals, stability conditions of equilibrium positions and estimates of transient times, as well as stability conditions for corresponding systems with switching force fields are obtained.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"113 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Construction of Lyapunov–Krasovskii Functionals for Nonlinear Mechanical Systems with Delay\",\"authors\":\"A. Aleksandrov\",\"doi\":\"10.1109/STAB49150.2020.9140569\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"New constructions of Lyapunov–Krasovskii functionals are proposed for certain classes of nonlinear mechanical systems with delay. With the aid of these functionals, stability conditions of equilibrium positions and estimates of transient times, as well as stability conditions for corresponding systems with switching force fields are obtained.\",\"PeriodicalId\":166223,\"journal\":{\"name\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"volume\":\"113 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STAB49150.2020.9140569\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STAB49150.2020.9140569","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Construction of Lyapunov–Krasovskii Functionals for Nonlinear Mechanical Systems with Delay
New constructions of Lyapunov–Krasovskii functionals are proposed for certain classes of nonlinear mechanical systems with delay. With the aid of these functionals, stability conditions of equilibrium positions and estimates of transient times, as well as stability conditions for corresponding systems with switching force fields are obtained.
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