Abstract

A simple time-domain procedure is presented for deriving simplified models for linear time-invariant systems. It is based on deriving a new realization form for the Cauer continued fraction expansion about s  a and s  0 alternately. A new similarity transformation is also developed which can be used to construct approximate aggregation matrices for the reduced order models obtained by the proposed procedure. Particularly when the original state-space model is in a phase-variable canonical form, the similarity matrix is given explicitly.

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