{"title":"The concept of hyperspace in dynamical system theory","authors":"C.D. Johnson, J. Zhu","doi":"10.1109/SSST.1990.138190","DOIUrl":null,"url":null,"abstract":"A new generalization of the state-space concept called hyperstate space, or simply hyperspace, is presented. The concept of hyperspace enables the quick determination of certain important geometric and analytic features of system-dynamic behavior without explicitly solution of the system state equations. The usefulness of the hyperspace concept is demonstrated by several examples from different areas of modern system theory.<<ETX>>","PeriodicalId":201543,"journal":{"name":"[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory","volume":"118 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.1990.138190","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
A new generalization of the state-space concept called hyperstate space, or simply hyperspace, is presented. The concept of hyperspace enables the quick determination of certain important geometric and analytic features of system-dynamic behavior without explicitly solution of the system state equations. The usefulness of the hyperspace concept is demonstrated by several examples from different areas of modern system theory.<>
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