27 August 2014
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Cheap Computation of Optimal Reduced-order Models for Systems with time delay using Mathematica

Author(s): O. Taiwo

Abstract:
A simple method of optimally reducing the order of systems with time delays is proposed. The performance indices used for optimization are the integral of the weighted squared error between the responses of the reduced-order and original models.

The performance indices are first expressed in terms of the reduced order system unknown parameters and a minimization of these indices gives the reduced model optimal parameters.

Cheap and accurate computation of optimal reduced order models with time delay has so far proved abortive as closed-form expressions for these indices have proved difficult to obtain.

The work shows how Mathematica facilitates both the expression of the performance indices in closed-form and the symbolic computation of moments. 1 Introduction The approximation of a hi...

Pages: 8
Size: 854 kb
Paper DOI: 10.2495/IMS970581

 

 

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Innovation in Mathematics

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