{"title":"具有熵算子的动态系统数学模型及其应用","authors":"Y. Popkov","doi":"10.1109/IS.2008.4670395","DOIUrl":null,"url":null,"abstract":"Mathematical definition of a class dynamic systems with entropy operator is considered (DSEO) The main properties of the entropy operator - existing, continuity, boundedness, differentiability are investigated. The stability conditions are obtained for the DSEO with multiplicative and additive flows. The theoretical results are used for mathematical modeling of labor market and in dynamic procedure of the image restoration from projections.","PeriodicalId":305750,"journal":{"name":"2008 4th International IEEE Conference Intelligent Systems","volume":"111 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematical models of dynamic systems with entropy operator and their applications\",\"authors\":\"Y. Popkov\",\"doi\":\"10.1109/IS.2008.4670395\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Mathematical definition of a class dynamic systems with entropy operator is considered (DSEO) The main properties of the entropy operator - existing, continuity, boundedness, differentiability are investigated. The stability conditions are obtained for the DSEO with multiplicative and additive flows. The theoretical results are used for mathematical modeling of labor market and in dynamic procedure of the image restoration from projections.\",\"PeriodicalId\":305750,\"journal\":{\"name\":\"2008 4th International IEEE Conference Intelligent Systems\",\"volume\":\"111 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-11-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 4th International IEEE Conference Intelligent Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IS.2008.4670395\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 4th International IEEE Conference Intelligent Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IS.2008.4670395","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mathematical models of dynamic systems with entropy operator and their applications
Mathematical definition of a class dynamic systems with entropy operator is considered (DSEO) The main properties of the entropy operator - existing, continuity, boundedness, differentiability are investigated. The stability conditions are obtained for the DSEO with multiplicative and additive flows. The theoretical results are used for mathematical modeling of labor market and in dynamic procedure of the image restoration from projections.
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