{"title":"区间分析算法在技术系统优化问题求解中的应用","authors":"O. Medvedeva, S. Mustafina","doi":"10.1109/EWDTS.2018.8524746","DOIUrl":null,"url":null,"abstract":"The application of interval analysis methods in the mathematical modeling of technical systems and the solution of the optimal control problem makes it possible to take into account the uncertainty in the initial data. A mathematical model of the xylene isomerization process with interval kinetic parameters was developed. On the basis of the Pontryagin maximum principle, the problem of finding the optimum temperature for the process is solved. A computational experiment was performed to find the dependence of the optimal solution on the variation of the kinetic parameters.","PeriodicalId":127240,"journal":{"name":"2018 IEEE East-West Design & Test Symposium (EWDTS)","volume":"40 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Using of Interval Analysis Algorithms for Technical Systems Optimization Problem Solving\",\"authors\":\"O. Medvedeva, S. Mustafina\",\"doi\":\"10.1109/EWDTS.2018.8524746\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The application of interval analysis methods in the mathematical modeling of technical systems and the solution of the optimal control problem makes it possible to take into account the uncertainty in the initial data. A mathematical model of the xylene isomerization process with interval kinetic parameters was developed. On the basis of the Pontryagin maximum principle, the problem of finding the optimum temperature for the process is solved. A computational experiment was performed to find the dependence of the optimal solution on the variation of the kinetic parameters.\",\"PeriodicalId\":127240,\"journal\":{\"name\":\"2018 IEEE East-West Design & Test Symposium (EWDTS)\",\"volume\":\"40 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 IEEE East-West Design & Test Symposium (EWDTS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/EWDTS.2018.8524746\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE East-West Design & Test Symposium (EWDTS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/EWDTS.2018.8524746","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Using of Interval Analysis Algorithms for Technical Systems Optimization Problem Solving
The application of interval analysis methods in the mathematical modeling of technical systems and the solution of the optimal control problem makes it possible to take into account the uncertainty in the initial data. A mathematical model of the xylene isomerization process with interval kinetic parameters was developed. On the basis of the Pontryagin maximum principle, the problem of finding the optimum temperature for the process is solved. A computational experiment was performed to find the dependence of the optimal solution on the variation of the kinetic parameters.
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