{"title":"最近用符号代数得到的一些结果","authors":"N. Munro, P. Tsapekis","doi":"10.1109/CACSD.1994.288941","DOIUrl":null,"url":null,"abstract":"This paper is concerned with the application of an algebraic language (Mathematica) to control engineering algorithmic problems. Several problems of significant interest to control engineers are considered. Two methods of computing the Smith-McMillan form are presented, and two approaches to the creation of minimal state-space realizations are considered. Balanced minimal realizations, model-order reduction, and minimal order matrix-fraction models are also examined. The algorithms implemented are all illustrated by examples.<<ETX>>","PeriodicalId":197997,"journal":{"name":"Proceedings of IEEE Symposium on Computer-Aided Control Systems Design (CACSD)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Some recent results using symbolic algebra\",\"authors\":\"N. Munro, P. Tsapekis\",\"doi\":\"10.1109/CACSD.1994.288941\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with the application of an algebraic language (Mathematica) to control engineering algorithmic problems. Several problems of significant interest to control engineers are considered. Two methods of computing the Smith-McMillan form are presented, and two approaches to the creation of minimal state-space realizations are considered. Balanced minimal realizations, model-order reduction, and minimal order matrix-fraction models are also examined. The algorithms implemented are all illustrated by examples.<<ETX>>\",\"PeriodicalId\":197997,\"journal\":{\"name\":\"Proceedings of IEEE Symposium on Computer-Aided Control Systems Design (CACSD)\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of IEEE Symposium on Computer-Aided Control Systems Design (CACSD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CACSD.1994.288941\",\"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 IEEE Symposium on Computer-Aided Control Systems Design (CACSD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CACSD.1994.288941","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper is concerned with the application of an algebraic language (Mathematica) to control engineering algorithmic problems. Several problems of significant interest to control engineers are considered. Two methods of computing the Smith-McMillan form are presented, and two approaches to the creation of minimal state-space realizations are considered. Balanced minimal realizations, model-order reduction, and minimal order matrix-fraction models are also examined. The algorithms implemented are all illustrated by examples.<>
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