{"title":"The bounded-real lemma for two-dimensional systems","authors":"T. Hinamoto","doi":"10.1109/ICSYSE.1990.203195","DOIUrl":null,"url":null,"abstract":"The lossless bounded-real lemma for 2D systems is developed. This is based on the second local state-space (LSS) model of E. Fornasini and G. Marchesini (Math. Syst. Theory, vol.12, p.59-72, 1978; IEEE Trans. Circuits Syst. vol.CAS-27, p.1210-7, 1980). A condition for a 2D system to be bounded-real is also investigated. Similar arguments can be applied to the Roesser LSS model. The lossless bounded-real property is treated in conjunction with the asymptotic stability and the overflow oscillation in 2D systems","PeriodicalId":259801,"journal":{"name":"1990 IEEE International Conference on Systems Engineering","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1990 IEEE International Conference on Systems Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSYSE.1990.203195","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The lossless bounded-real lemma for 2D systems is developed. This is based on the second local state-space (LSS) model of E. Fornasini and G. Marchesini (Math. Syst. Theory, vol.12, p.59-72, 1978; IEEE Trans. Circuits Syst. vol.CAS-27, p.1210-7, 1980). A condition for a 2D system to be bounded-real is also investigated. Similar arguments can be applied to the Roesser LSS model. The lossless bounded-real property is treated in conjunction with the asymptotic stability and the overflow oscillation in 2D systems
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
