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A two-variable approach to the model reduction problem with Hankel norm criterion

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2 Author(s)

A two-variable approach to the model reduction problem with Hankel norm criterion is discussed. The problem is proved to be reducible to obtaining a two-variable all-pass rational function, interpolating a set of parametric values at specified points inside the unit circle. A polynomial formulation and the properties of the optimal Hankel norm approximations are then shown to result directly from the general form of the solution of the interpolation problem considered.

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Circuits and Systems, IEEE Transactions on  (Volume:28 ,  Issue: 9 )