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Analysis of linear time-varying systems by shifted legendre polynomials

โœ Scribed by Ming-Jong Tsai; Cha'o-Kuang Chen; Fan-Chu Kung

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

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โœฆ Synopsis

This paper analyses the linear time-varying system by the shifted

Legendre polynomials expansion. Using the operational matrix for integrating the shgted Legendre polynomials, the dynamic equation of a linear time-varying system is reduced to a set of simultaneous linear algebraic equations. The coefficients of the shifted Legendre polynomials expansion can be determined by using the least-squares method. An example is given to demonstrate the accuracy of shqted Legendre polynomials expansion of jinite terms and it is compared with the results of the Laguerre method.

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