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Cheap computation of optimal reduced-order models for systems with time delay using Mathematica

O. Taiwo
Journal / Anthology

Innovation in Mathematics: Proceedings of the Second International Mathematica Symposium
Year: 1997
Page range: 451-458

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. 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.

*Applied Mathematics > Optimization