{"title":"具有乘性噪声的二维离散Fornasini-Marchesini模型的稳定性和鲁棒稳定性","authors":"Marwa Elloumi, M. Ghamgui, D. Mehdi, M. Chaabane","doi":"10.1109/ICOSC.2017.7958727","DOIUrl":null,"url":null,"abstract":"This paper tackles the problem of stability and robust stability of 2D discrete Fornasini-Marchesini (FM) model with multiplicative noise. First, we establish a mean-square asymptotic stability by using the Leibniz-Newton formula with additional free weighting matrices. Based on this stability criterion, which is expressed through Linear Matrix Inequality, we investigate the robust stability for 2D discrete Fornasini-Marchesini (FM) model with multiplicative noise with norm-bounded uncertain matrix. To illustrate the effectiveness of the proposed approach, simulation examples are given.","PeriodicalId":113395,"journal":{"name":"2017 6th International Conference on Systems and Control (ICSC)","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Stability and robust stability of 2D discrete Fornasini-Marchesini model with multiplicative noise\",\"authors\":\"Marwa Elloumi, M. Ghamgui, D. Mehdi, M. Chaabane\",\"doi\":\"10.1109/ICOSC.2017.7958727\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper tackles the problem of stability and robust stability of 2D discrete Fornasini-Marchesini (FM) model with multiplicative noise. First, we establish a mean-square asymptotic stability by using the Leibniz-Newton formula with additional free weighting matrices. Based on this stability criterion, which is expressed through Linear Matrix Inequality, we investigate the robust stability for 2D discrete Fornasini-Marchesini (FM) model with multiplicative noise with norm-bounded uncertain matrix. To illustrate the effectiveness of the proposed approach, simulation examples are given.\",\"PeriodicalId\":113395,\"journal\":{\"name\":\"2017 6th International Conference on Systems and Control (ICSC)\",\"volume\":\"68 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 6th International Conference on Systems and Control (ICSC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICOSC.2017.7958727\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 6th International Conference on Systems and Control (ICSC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICOSC.2017.7958727","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability and robust stability of 2D discrete Fornasini-Marchesini model with multiplicative noise
This paper tackles the problem of stability and robust stability of 2D discrete Fornasini-Marchesini (FM) model with multiplicative noise. First, we establish a mean-square asymptotic stability by using the Leibniz-Newton formula with additional free weighting matrices. Based on this stability criterion, which is expressed through Linear Matrix Inequality, we investigate the robust stability for 2D discrete Fornasini-Marchesini (FM) model with multiplicative noise with norm-bounded uncertain matrix. To illustrate the effectiveness of the proposed approach, simulation examples are given.
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