{"title":"具有饱和作动器和时变时滞的马尔可夫跳变随机双线性系统均方的指数稳定性","authors":"X. Jiao, Zongrun Liu","doi":"10.1109/ICICIP.2012.6391531","DOIUrl":null,"url":null,"abstract":"This paper investigates exponential stability in mean-square of stochastic bilinear systems with saturating actuators. The system is described by state differential equation with Markovian jump and time-varying delay in state and input. A sufficient condition for exponential stability in mean-square of the system is given according to Lyapunov-Krasovskii theory. A numerical example shows that the approach proposed is effective.","PeriodicalId":376265,"journal":{"name":"2012 Third International Conference on Intelligent Control and Information Processing","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exponential stability in mean-square of Markovian jump stochastic bilinear systems with saturating actuators and time-varying delay\",\"authors\":\"X. Jiao, Zongrun Liu\",\"doi\":\"10.1109/ICICIP.2012.6391531\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates exponential stability in mean-square of stochastic bilinear systems with saturating actuators. The system is described by state differential equation with Markovian jump and time-varying delay in state and input. A sufficient condition for exponential stability in mean-square of the system is given according to Lyapunov-Krasovskii theory. A numerical example shows that the approach proposed is effective.\",\"PeriodicalId\":376265,\"journal\":{\"name\":\"2012 Third International Conference on Intelligent Control and Information Processing\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Third International Conference on Intelligent Control and Information Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICICIP.2012.6391531\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Third International Conference on Intelligent Control and Information Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIP.2012.6391531","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponential stability in mean-square of Markovian jump stochastic bilinear systems with saturating actuators and time-varying delay
This paper investigates exponential stability in mean-square of stochastic bilinear systems with saturating actuators. The system is described by state differential equation with Markovian jump and time-varying delay in state and input. A sufficient condition for exponential stability in mean-square of the system is given according to Lyapunov-Krasovskii theory. A numerical example shows that the approach proposed is effective.