{"title":"一类具有马尔可夫切换的随机动力系统的不动点与稳定性","authors":"Xinwen Zhang","doi":"10.1109/IMCEC51613.2021.9482051","DOIUrl":null,"url":null,"abstract":"In this paper, we discuss the stability of impulsive neutral stochastic differential dynamic systems with Markovian switching. Some new sufficient conditions proving the stability in mean square of this impulsive neutral stochastic dynamic systems are derived by using of the Banach fixed point technique. Some well-known results are generalized and improved.","PeriodicalId":240400,"journal":{"name":"2021 IEEE 4th Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC)","volume":"63 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed Point and Stability of a Class of Stochastic Dynamic Systems with Markovian Switching\",\"authors\":\"Xinwen Zhang\",\"doi\":\"10.1109/IMCEC51613.2021.9482051\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we discuss the stability of impulsive neutral stochastic differential dynamic systems with Markovian switching. Some new sufficient conditions proving the stability in mean square of this impulsive neutral stochastic dynamic systems are derived by using of the Banach fixed point technique. Some well-known results are generalized and improved.\",\"PeriodicalId\":240400,\"journal\":{\"name\":\"2021 IEEE 4th Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC)\",\"volume\":\"63 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-06-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 IEEE 4th Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IMCEC51613.2021.9482051\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 IEEE 4th Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IMCEC51613.2021.9482051","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fixed Point and Stability of a Class of Stochastic Dynamic Systems with Markovian Switching
In this paper, we discuss the stability of impulsive neutral stochastic differential dynamic systems with Markovian switching. Some new sufficient conditions proving the stability in mean square of this impulsive neutral stochastic dynamic systems are derived by using of the Banach fixed point technique. Some well-known results are generalized and improved.