{"title":"基于反应扩散变换的MIMO线性动态网络模型降阶","authors":"T. Ishizaki, K. Kashima, J. Imura, K. Aihara","doi":"10.1109/ACC.2011.5990628","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a model order reduction method for MIMO linear dynamical networks, where a large number of subsystems interact according to a network. In this method, a spatially one-dimensional reaction-diffusion structure, which can be efficiently exploited even for large-scale systems, is fully utilized. We give a simple algorithm as well as a computable error bound in terms of the H∞-norm.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"497 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Model order reduction for MIMO linear dynamical networks via Reaction-Diffusion transformation\",\"authors\":\"T. Ishizaki, K. Kashima, J. Imura, K. Aihara\",\"doi\":\"10.1109/ACC.2011.5990628\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose a model order reduction method for MIMO linear dynamical networks, where a large number of subsystems interact according to a network. In this method, a spatially one-dimensional reaction-diffusion structure, which can be efficiently exploited even for large-scale systems, is fully utilized. We give a simple algorithm as well as a computable error bound in terms of the H∞-norm.\",\"PeriodicalId\":225201,\"journal\":{\"name\":\"Proceedings of the 2011 American Control Conference\",\"volume\":\"497 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-08-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2011 American Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACC.2011.5990628\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2011 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.2011.5990628","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Model order reduction for MIMO linear dynamical networks via Reaction-Diffusion transformation
In this paper, we propose a model order reduction method for MIMO linear dynamical networks, where a large number of subsystems interact according to a network. In this method, a spatially one-dimensional reaction-diffusion structure, which can be efficiently exploited even for large-scale systems, is fully utilized. We give a simple algorithm as well as a computable error bound in terms of the H∞-norm.