Given a system S characterized by a transfer function, a practical method is developed for finding a system S∗ with proper rational transfer function of small denominator degree, such that the step response of S∗ is, in an appropriate sense, the baat approximant to the step response of S. The method is extended to multivariable systems. Various relations between moment and Padé approximants are derived.
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V. Zakian (1973) studied this question.
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