State Space Formulae for the Gap Computation
Tannenbaum, Allen R.
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It is widely recognized that the computation of the gap metric is equivalent to a two block Hx problem or the norm computation of a two block “Hankel+Toeplitz” operator. However, it can also be characterized as the smallest singular value of a certain Toeplitz operator. We show here a simple computational method for finding such singular value and the gap between two plants using a state space skew Toeplitz type approach.