Abstract
Based on a canonical form for the set of minimal asymptotically stable systems in terms of balanced realizations, a parametrization is derived for the set of asymptotically stable MIMO all-pass transfer functions. A specialization of this result to the SISO case leads to a particularly simple representation of asymptotically stable scalar all-pass transfer functions. A straightforward state-space realization algorithm for asymptotically stable SISO all-pass transfer functions is given.
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