Journal
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS
Volume 24, Issue 5, Pages 455-484Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/13873954.2018.1488742
Keywords
time-domain model order reduction; moment matching; Sylvester equation
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We investigate the time domain model order reduction (MOR) framework using general orthogonal polynomials by Jiang and Chen [1] and extend their idea by exploiting the structure of the corresponding linear system of equations. Identifying an equivalent Sylvester equation, we show a connection to a rational Krylov subspace, and thus to moment matching. This theoretical link between the MOR techniques is illustrated by three numerical examples. For linear time-invariant systems, the link also motivates that the time-domain approach can be at best as accurate as moment matching, since the expansion points are fixed by the choice of the polynomial basis, while in moment matchingthey can be adapted to the system.
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