{"title":"切比雪夫小波最优控制系统分析","authors":"V. Ramalakshmi, T. Balasubramanian, B. Kumar","doi":"10.21013/JTE.V4.N1.P7","DOIUrl":null,"url":null,"abstract":"In this paper, we derive new explicit formula for the matrix derivatives of chebyshev polynomial third degree because of this kind of polynomial is an important tool for numerical analysis of optimal controlling system. A numerical example is included to demonstrate the validity and applicability of the technique.","PeriodicalId":269688,"journal":{"name":"IRA-International Journal of Technology & Engineering","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of optimal controlling system using Chebyshev Wavelets\",\"authors\":\"V. Ramalakshmi, T. Balasubramanian, B. Kumar\",\"doi\":\"10.21013/JTE.V4.N1.P7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we derive new explicit formula for the matrix derivatives of chebyshev polynomial third degree because of this kind of polynomial is an important tool for numerical analysis of optimal controlling system. A numerical example is included to demonstrate the validity and applicability of the technique.\",\"PeriodicalId\":269688,\"journal\":{\"name\":\"IRA-International Journal of Technology & Engineering\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-08-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IRA-International Journal of Technology & Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21013/JTE.V4.N1.P7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IRA-International Journal of Technology & Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21013/JTE.V4.N1.P7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis of optimal controlling system using Chebyshev Wavelets
In this paper, we derive new explicit formula for the matrix derivatives of chebyshev polynomial third degree because of this kind of polynomial is an important tool for numerical analysis of optimal controlling system. A numerical example is included to demonstrate the validity and applicability of the technique.