{"title":"延迟时变奇异系统的勒让德多项式分析","authors":"A. Zeynabi, M. Shafiee","doi":"10.1109/ICCIAUTOM.2013.6912835","DOIUrl":null,"url":null,"abstract":"In this paper, we discussed the methods of approximating delayed time varying singular systems response using legendre orthogonal functions. At first properties of delayed legender polynomials are introduced such as the operational integral, delay, delayed integral and product matrixes which are required to convert differential algebraic equations to fully algebraic equations. Then our method for approximating delayed time varying singular systems by using the properties of orthogonal polynomials, is explained. Finally numerical examples are given to show the validity and accuracy of this proposal method.","PeriodicalId":444883,"journal":{"name":"The 3rd International Conference on Control, Instrumentation, and Automation","volume":"84 3","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Delayed time varying singular systems analysis using legendre polynomials\",\"authors\":\"A. Zeynabi, M. Shafiee\",\"doi\":\"10.1109/ICCIAUTOM.2013.6912835\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we discussed the methods of approximating delayed time varying singular systems response using legendre orthogonal functions. At first properties of delayed legender polynomials are introduced such as the operational integral, delay, delayed integral and product matrixes which are required to convert differential algebraic equations to fully algebraic equations. Then our method for approximating delayed time varying singular systems by using the properties of orthogonal polynomials, is explained. Finally numerical examples are given to show the validity and accuracy of this proposal method.\",\"PeriodicalId\":444883,\"journal\":{\"name\":\"The 3rd International Conference on Control, Instrumentation, and Automation\",\"volume\":\"84 3\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 3rd International Conference on Control, Instrumentation, and Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCIAUTOM.2013.6912835\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 3rd International Conference on Control, Instrumentation, and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCIAUTOM.2013.6912835","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Delayed time varying singular systems analysis using legendre polynomials
In this paper, we discussed the methods of approximating delayed time varying singular systems response using legendre orthogonal functions. At first properties of delayed legender polynomials are introduced such as the operational integral, delay, delayed integral and product matrixes which are required to convert differential algebraic equations to fully algebraic equations. Then our method for approximating delayed time varying singular systems by using the properties of orthogonal polynomials, is explained. Finally numerical examples are given to show the validity and accuracy of this proposal method.
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