Generalization of optimal Hankel-norm and balanced model reduction by bilinear mapping

1 May 1987

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 45 (5) , 1751-1769
https://doi.org/10.1080/00207178708933844

Abstract

In this paper the standard optimal Hankel-norm model reduction and balanced model reduction are generalized to optimal Hankel-norm model reduction and balanced model reduction over a disc in the complex plane. Important properties of the new model-reduction concept such as the monotone property of the generalized Hankel norm with respect to the domain, and the L _∞ error bound over a disc D are given. Applications like the approximation of unstable systems and model reduction for specific working signals are discussed.

Keywords

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