{"title":"弹簧系统的模型简化","authors":"Qing Wang, Xiaolin Deng, Qingyang Wang","doi":"10.1109/ICCA.2010.5524193","DOIUrl":null,"url":null,"abstract":"The H2 optimal model reduction problem is to obtain reduced order spring system with r springs to approximate the original spring system with n (r < n) springs such that the H2 norm of the error system is minimized. The expression of the error and its gradient are explicitly given in terms of the solutions of certain Lyapunov equations. An example is provided to illustrate the effectiveness of the proposed method.","PeriodicalId":155562,"journal":{"name":"IEEE ICCA 2010","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Model simplification of spring systems\",\"authors\":\"Qing Wang, Xiaolin Deng, Qingyang Wang\",\"doi\":\"10.1109/ICCA.2010.5524193\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The H2 optimal model reduction problem is to obtain reduced order spring system with r springs to approximate the original spring system with n (r < n) springs such that the H2 norm of the error system is minimized. The expression of the error and its gradient are explicitly given in terms of the solutions of certain Lyapunov equations. An example is provided to illustrate the effectiveness of the proposed method.\",\"PeriodicalId\":155562,\"journal\":{\"name\":\"IEEE ICCA 2010\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE ICCA 2010\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCA.2010.5524193\",\"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 ICCA 2010","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCA.2010.5524193","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The H2 optimal model reduction problem is to obtain reduced order spring system with r springs to approximate the original spring system with n (r < n) springs such that the H2 norm of the error system is minimized. The expression of the error and its gradient are explicitly given in terms of the solutions of certain Lyapunov equations. An example is provided to illustrate the effectiveness of the proposed method.
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