{"title":"Order reduction of 2-D discrete systems via bounded real balancing","authors":"W.-s. Lu","doi":"10.1109/CDC.1988.194503","DOIUrl":null,"url":null,"abstract":"A novel order-reduction method for 2-D discrete systems based on bounded real (BR) balancing is presented. The concept of BR balancing was first introduced to reduce the order of 1-D continuous-time systems. It is shown that if the 2-D discrete system considered satisfies the 2-D Lyapunov condition, the BR balanced approximation then yields a stable low-order 2-D system with a reasonably small approximation error.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 27th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1988.194503","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
A novel order-reduction method for 2-D discrete systems based on bounded real (BR) balancing is presented. The concept of BR balancing was first introduced to reduce the order of 1-D continuous-time systems. It is shown that if the 2-D discrete system considered satisfies the 2-D Lyapunov condition, the BR balanced approximation then yields a stable low-order 2-D system with a reasonably small approximation error.<>