{"title":"关于茨普金轨迹的注释","authors":"A. Bergen","doi":"10.1109/TAC.1962.1105451","DOIUrl":null,"url":null,"abstract":"The Tsypkin locus is used to test necessary conditions for the symmetric periodic oscillation of relay feedback systems. The conditions as stated in the literature limit the applicability of the locus to systems whose linear part has at least two more poles than zeros. This communication derives the modification required of the Tsypkin locus in order that it be applicable to systems having only at least as many poles as zeros.","PeriodicalId":226447,"journal":{"name":"Ire Transactions on Automatic Control","volume":"92 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1962-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":"{\"title\":\"A note on Tsypkin's locus\",\"authors\":\"A. Bergen\",\"doi\":\"10.1109/TAC.1962.1105451\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Tsypkin locus is used to test necessary conditions for the symmetric periodic oscillation of relay feedback systems. The conditions as stated in the literature limit the applicability of the locus to systems whose linear part has at least two more poles than zeros. This communication derives the modification required of the Tsypkin locus in order that it be applicable to systems having only at least as many poles as zeros.\",\"PeriodicalId\":226447,\"journal\":{\"name\":\"Ire Transactions on Automatic Control\",\"volume\":\"92 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1962-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ire Transactions on Automatic Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TAC.1962.1105451\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ire Transactions on Automatic Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TAC.1962.1105451","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Tsypkin locus is used to test necessary conditions for the symmetric periodic oscillation of relay feedback systems. The conditions as stated in the literature limit the applicability of the locus to systems whose linear part has at least two more poles than zeros. This communication derives the modification required of the Tsypkin locus in order that it be applicable to systems having only at least as many poles as zeros.
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