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Solution of a Scaled System via Chebyshev Polynomials

โœ Scribed by Chyi Hwang

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
418 KB
Volume
318
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

A new time-domain approach to the derivation of a Chebyshev scale matrix is presented. The derived Chebyshev scale matrix, together with the Chebyshev integration matrix, is used to analyze differential equations containing terms with a scaled argument. The results are expressed in terms of Chebyshev series. As illustrated in the included examples, the Chebyshev series solution converges faster than that represented in Laguerre series.

๐Ÿ“œ SIMILAR VOLUMES

Analysis and parameter estimation of bil
Analysis and parameter estimation of bilinear systems via Chebyshev polynomials
โœ Cheng-Chiian Liu; Yen-Ping Shih ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 439 KB

The operational properties of the integration and product of Chebyshev polynomials are used in the analysis of bilinear systems by the approximation of time functions by truncated Chebyshev series. The operational properties are also applied to.determine the unknown parameters of a general bilinear

A HYBRID FORMULATION FOR THE ANALYSIS OF
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โœ E.A. Butcher; S.C. Sinha ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 239 KB

## 1. ๏ฉ๏ฎ๏ด๏ฒ๏ฏ๏ค๏ต๏ฃ๏ด๏ฉ๏ฏ๏ฎ Recently several studies (see e.g. references [1,2]) have been reported in which the solutions of both constant and time-varying systems are expressed in terms of Chebyshev polynomials. The first applications of orthogonal polynomials to differential equations with periodic coeff