OPTIMAL APPROXIMATION OF LINEAR SYSTEMS.

Leonard M. Silverman*, Maamar Bettayeb

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

4 Scopus citations

Abstract

Based on recently developed techniques of system balancing, the Adamjan-Arov-Krein approximation theory is shown to be applicable to the model reduction problem. For finite dimensional systems, the existence results of V. M. Adamjan et al. are made concrete, and explicit expressions and algorithms are obtained for finding approximations of any specified order. These approximations are optimal in a well defined sense.

Original languageEnglish
StatePublished - 1981

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