M. Kraus, J. Kunovsky, Milan Pindryc, Václav Šátek
{"title":"控制理论中的泰勒级数","authors":"M. Kraus, J. Kunovsky, Milan Pindryc, Václav Šátek","doi":"10.1109/UKSIM.2008.45","DOIUrl":null,"url":null,"abstract":"An original mathematical method which uses the Taylor series method for solving differential equations in a non-traditional way has been developed. Experimental calculations have shown and theoretical analyses have verified that the accuracy and stability of the Taylor series method exceeds the currently used algorithms for numerically solving differential equations. It is the aim of the paper to adapt Taylor series to real-time simulation. A special hardware for model representation is presented, too.","PeriodicalId":22356,"journal":{"name":"Tenth International Conference on Computer Modeling and Simulation (uksim 2008)","volume":"5 5 1","pages":"378-379"},"PeriodicalIF":0.0000,"publicationDate":"2008-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Taylor Series in Control Theory\",\"authors\":\"M. Kraus, J. Kunovsky, Milan Pindryc, Václav Šátek\",\"doi\":\"10.1109/UKSIM.2008.45\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An original mathematical method which uses the Taylor series method for solving differential equations in a non-traditional way has been developed. Experimental calculations have shown and theoretical analyses have verified that the accuracy and stability of the Taylor series method exceeds the currently used algorithms for numerically solving differential equations. It is the aim of the paper to adapt Taylor series to real-time simulation. A special hardware for model representation is presented, too.\",\"PeriodicalId\":22356,\"journal\":{\"name\":\"Tenth International Conference on Computer Modeling and Simulation (uksim 2008)\",\"volume\":\"5 5 1\",\"pages\":\"378-379\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tenth International Conference on Computer Modeling and Simulation (uksim 2008)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/UKSIM.2008.45\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tenth International Conference on Computer Modeling and Simulation (uksim 2008)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/UKSIM.2008.45","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An original mathematical method which uses the Taylor series method for solving differential equations in a non-traditional way has been developed. Experimental calculations have shown and theoretical analyses have verified that the accuracy and stability of the Taylor series method exceeds the currently used algorithms for numerically solving differential equations. It is the aim of the paper to adapt Taylor series to real-time simulation. A special hardware for model representation is presented, too.
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