Abstract
AbstractIn various branches of systems and control theory, one is confronted with the need for approximating transfer functions by a sequence of FIR expansions in the H∞-norm. The approximating sequence grows in its McMillan degree, while the limiting transfer matrix has a finite number of poles. Considering the corresponding state-space realizations of the approximating sequence and its limit, it is of interest to understand the limiting behavior of the realization matrices. This paper provides an answer for the continuous-time counterpart of FIR expansions in the case of exponential convergence.
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