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A Numerical Method for Solving Time-Invariant System by

the Generalized Inverse Vandermonde Matrix

**Kao-Shing Hwang and Feng-Cheng Chang**

National Chung Cheng University

Chiayi, Taiwan 621, R.O.C.

A simple numerical algorithm based on the generalized Inverse Vandermonde matrix for evaluation of time response to a time-invariant system is proposed. The system is assumed to be governed by a high order linear differential equation with constant coefficients. The technique involves determination of the partial-fraction expansion of rational functions. Only synthetic division and longhand division are required, which makes the process very suitable for computer programming. Menawhile, because the solution is directly related to the sytems initial conditions, the proposed approach only requires computation f the inverse generalized Vandermonde matrix.

Keywords: inverse Vandermonde matrix, ordinary differential wquations, time-response, time-invariant system

Retrieve PDF document (**199903_08.pdf** : 33,712 bytes)

Received September 19, 1996; accepted September 30, 1998.

Communicated by Yung-Nien Sun.