{"title":"分数生物经济系统的必要最优性条件","authors":"D. Filatova, M. Grzywaczewski","doi":"10.1109/HSI.2008.4581574","DOIUrl":null,"url":null,"abstract":"We consider the task of bioeconomic optimal control. The biomass dynamics is given by fractional stochastic differential equation. The discounted multiplicative production function describes net revenue and takes into account elasticity coefficients. Stochastic control problem is converting to non-random one. Necessary optimality conditions with respect to fractional terms are formulated as theorems and present the main result of this paper.","PeriodicalId":139846,"journal":{"name":"2008 Conference on Human System Interactions","volume":"270 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Necessary optimality conditions for fractional bioeconomic systems\",\"authors\":\"D. Filatova, M. Grzywaczewski\",\"doi\":\"10.1109/HSI.2008.4581574\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the task of bioeconomic optimal control. The biomass dynamics is given by fractional stochastic differential equation. The discounted multiplicative production function describes net revenue and takes into account elasticity coefficients. Stochastic control problem is converting to non-random one. Necessary optimality conditions with respect to fractional terms are formulated as theorems and present the main result of this paper.\",\"PeriodicalId\":139846,\"journal\":{\"name\":\"2008 Conference on Human System Interactions\",\"volume\":\"270 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 Conference on Human System Interactions\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/HSI.2008.4581574\",\"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 Conference on Human System Interactions","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/HSI.2008.4581574","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Necessary optimality conditions for fractional bioeconomic systems
We consider the task of bioeconomic optimal control. The biomass dynamics is given by fractional stochastic differential equation. The discounted multiplicative production function describes net revenue and takes into account elasticity coefficients. Stochastic control problem is converting to non-random one. Necessary optimality conditions with respect to fractional terms are formulated as theorems and present the main result of this paper.
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