{"title":"可因式Volterra系统的可达性、可观察性和实现理论","authors":"T. Harper, W. Rugh","doi":"10.1109/CDC.1975.270708","DOIUrl":null,"url":null,"abstract":"A long standing approach to nonlinear system theory is the use of Volterra series to represent Input/output behavior. Techniques have been developed for determining the terms in the series from differential equation descriptions and from Input/output experiments. However the generality of this representation in a sense ignores structural features of the system under consideration, and this often precludes mathematical tractibility.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"17 8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Reachability, observability, and realization theory for factorable Volterra systems\",\"authors\":\"T. Harper, W. Rugh\",\"doi\":\"10.1109/CDC.1975.270708\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A long standing approach to nonlinear system theory is the use of Volterra series to represent Input/output behavior. Techniques have been developed for determining the terms in the series from differential equation descriptions and from Input/output experiments. However the generality of this representation in a sense ignores structural features of the system under consideration, and this often precludes mathematical tractibility.\",\"PeriodicalId\":164707,\"journal\":{\"name\":\"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes\",\"volume\":\"17 8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1975-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1975.270708\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1975.270708","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Reachability, observability, and realization theory for factorable Volterra systems
A long standing approach to nonlinear system theory is the use of Volterra series to represent Input/output behavior. Techniques have been developed for determining the terms in the series from differential equation descriptions and from Input/output experiments. However the generality of this representation in a sense ignores structural features of the system under consideration, and this often precludes mathematical tractibility.
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