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Frequency weighted optimal Hankel-norm approximation of scalar linear systems

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Latham, Geoffrey A.

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Canberra, ACT : The Australian National University

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This thesis addresses the problem of model reduction for scalar linear time-invariant systems via the use of the optimal Hankel-norm approximation problem. Frequency weighting is combined with optimality in the Hankel norm to obtain a frequency shaped approximation to a given linear system. This is accomplished by the solution of a modified optimal Hankel-norm approximation problem. Also presented is an error analysis for the frequency shaped approximation.

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Open Access

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