{"title":"N: G冗余系统k Out的指数稳定性","authors":"Zhiying Li, Wenlong Wang","doi":"10.1109/ICCECT.2012.140","DOIUrl":null,"url":null,"abstract":"In this paper we investigate the dominant eigenvalue and stability of k out of N: G redundant system with repair facilities and multiple critical and non-critical errors. By using the method of functional analysis, especially, the linear operator theory on Banach space, we prove the existence of strictly dominant eigenvalue of the system. We show that the dynamic system is linear stable and exponential stable.","PeriodicalId":153613,"journal":{"name":"2012 International Conference on Control Engineering and Communication Technology","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exponential Stability of k Out of N: G Redundant System\",\"authors\":\"Zhiying Li, Wenlong Wang\",\"doi\":\"10.1109/ICCECT.2012.140\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we investigate the dominant eigenvalue and stability of k out of N: G redundant system with repair facilities and multiple critical and non-critical errors. By using the method of functional analysis, especially, the linear operator theory on Banach space, we prove the existence of strictly dominant eigenvalue of the system. We show that the dynamic system is linear stable and exponential stable.\",\"PeriodicalId\":153613,\"journal\":{\"name\":\"2012 International Conference on Control Engineering and Communication Technology\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 International Conference on Control Engineering and Communication Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCECT.2012.140\",\"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 International Conference on Control Engineering and Communication Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCECT.2012.140","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponential Stability of k Out of N: G Redundant System
In this paper we investigate the dominant eigenvalue and stability of k out of N: G redundant system with repair facilities and multiple critical and non-critical errors. By using the method of functional analysis, especially, the linear operator theory on Banach space, we prove the existence of strictly dominant eigenvalue of the system. We show that the dynamic system is linear stable and exponential stable.