On model reduction by \(L_ 2\)-optimal pole retention

DOI10.1016/0016-0032(90)90057-PzbMath0695.93036OpenAlexW2057374906MaRDI QIDQ910366

Umberto Viaro, Antonio Lepschy, Gian Antonio Mian, Wiesław Krajewski

Publication date: 1990

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(90)90057-p

zbMATH Keywords

impulse response errororder-recursive procedureretained poles

Mathematics Subject Classification ID

Synthesis problems (93B50)

Related Items (5)

Linear time invariant system order reduction using multipoint step response matching ⋮ Optimal model reduction by multipoint Padé approximation ⋮ A program for solving the \(L_ 2\) reduced-order model problem with fixed denominator degree ⋮ Model reduction by reproducing the asymptotic response ⋮ Model order reduction using response-matching technique

Cites Work

• Unnamed Item
• Padé techniques for model reduction in linear system theory: a survey
• Optimal choice of modes for aggregation
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• On the selection of the eigenvalues to be retained in the reduced order models
• Linear system reduction using Pade approximation to allow retention of dominant modes
• Recursive simplification of pole-assignment problem in multi-input systems†

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