## 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
Analysis and parameter estimation of bilinear systems via Chebyshev polynomials
โ Scribed by Cheng-Chiian Liu; Yen-Ping Shih
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 439 KB
- Volume
- 317
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
โฆ Synopsis
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 system from the input-output data. Examples with excellent results are given.
๐ SIMILAR VOLUMES
This paper annlJ;es the application of Laguerre polynomial expansion to linear systems. It can be applied to the solution of linear state equations by using an algebraic matri.u to determine the coejicients of the Laglrerre expansion. It also can be applied to system identification by using the expa