Abstract
This paper reviews various right/left inverses of polynomial matrices, introduced by the authors as a result of their research works on minimum variance control for LTI MIMO systems. In consequence, a new, general, Smith-factorization based inverse is presented. The problem of selection of stable inverses, in particular pole-free inverses, is also tackled. Applications in control, communications and vision, in particular concerning perfect signal transmission/recovery, are indicated.
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