Abstract
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.
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