Analysis and identification of linear distributed systems via Chebyshev series

Abstract
A double Chebyshev series is introduced to approximate functions of two independent variables and then applied to analyse and identify linear distributed systems. The solution for the coefficient matrices can be obtained directly from a Kronecker product formula. In addition, the algorithm for formulating the algebraic equations to estimate unknown parameters is derived, with the method used being algebraic and computer-oriented. Two illustrative examples are given and excellent results are obtained owing to the rapid convergence property of the Chebyshev series

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