{"title":"广义OZF乘法器的相位限制:进一步的结果","authors":"W. Heath, J. Carrasco","doi":"10.1109/Control55989.2022.9781445","DOIUrl":null,"url":null,"abstract":"We present phase limitations for multipliers that preserve the positivity of nonlinearities with memoryless and monotone bounds. The phase limitations are tighter than those previously reported. For discrete-time multipliers specific phase limitaions can be found at each frequency that is a rational multiple of π. For continuous-time multipliers phase limitations can be found at pairs of frequencies that are rational multiples of each other. Both cases lead to insightful graphical interpretation.","PeriodicalId":101892,"journal":{"name":"2022 UKACC 13th International Conference on Control (CONTROL)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Phase limitations of generalised OZF multipliers: further results\",\"authors\":\"W. Heath, J. Carrasco\",\"doi\":\"10.1109/Control55989.2022.9781445\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present phase limitations for multipliers that preserve the positivity of nonlinearities with memoryless and monotone bounds. The phase limitations are tighter than those previously reported. For discrete-time multipliers specific phase limitaions can be found at each frequency that is a rational multiple of π. For continuous-time multipliers phase limitations can be found at pairs of frequencies that are rational multiples of each other. Both cases lead to insightful graphical interpretation.\",\"PeriodicalId\":101892,\"journal\":{\"name\":\"2022 UKACC 13th International Conference on Control (CONTROL)\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-04-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 UKACC 13th International Conference on Control (CONTROL)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/Control55989.2022.9781445\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 UKACC 13th International Conference on Control (CONTROL)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/Control55989.2022.9781445","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Phase limitations of generalised OZF multipliers: further results
We present phase limitations for multipliers that preserve the positivity of nonlinearities with memoryless and monotone bounds. The phase limitations are tighter than those previously reported. For discrete-time multipliers specific phase limitaions can be found at each frequency that is a rational multiple of π. For continuous-time multipliers phase limitations can be found at pairs of frequencies that are rational multiples of each other. Both cases lead to insightful graphical interpretation.