{"title":"离散马尔可夫跳变线性奇异系统的稳定性分析","authors":"J. Guillermo, Maritza Lourdes Moreno Capristano","doi":"10.1109/CDC42340.2020.9303872","DOIUrl":null,"url":null,"abstract":"This paper investigates the stability for Markov jump linear singular system. It yields that mode to mode causality and regularity are sufficient conditions. Mean square stability is analyzed using the spectral radius of a certain matrix. In addition, the equivalence between the different definitions of stability is presented. Finally, a simple example is set to check the results.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"61 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of the stability of Discrete-time Markov Jump Linear Singular Systems\",\"authors\":\"J. Guillermo, Maritza Lourdes Moreno Capristano\",\"doi\":\"10.1109/CDC42340.2020.9303872\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates the stability for Markov jump linear singular system. It yields that mode to mode causality and regularity are sufficient conditions. Mean square stability is analyzed using the spectral radius of a certain matrix. In addition, the equivalence between the different definitions of stability is presented. Finally, a simple example is set to check the results.\",\"PeriodicalId\":411031,\"journal\":{\"name\":\"IEEE Conference on Decision and Control\",\"volume\":\"61 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC42340.2020.9303872\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC42340.2020.9303872","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis of the stability of Discrete-time Markov Jump Linear Singular Systems
This paper investigates the stability for Markov jump linear singular system. It yields that mode to mode causality and regularity are sufficient conditions. Mean square stability is analyzed using the spectral radius of a certain matrix. In addition, the equivalence between the different definitions of stability is presented. Finally, a simple example is set to check the results.