Right/Left inverses of polynomial matrices for control, communications and vision

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 in...

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Bibliographic Details
Main Authors: Hunek, W P, Latawiec, K J, Łukaniszyn, Marian
Format: Conference Proceeding
Language:English
Subjects:
Control systems
Filtering theory
Mathematical model
MIMO channels/systems
minimum variance control
Poles and zeros
Polynomials
right/left inverses of polynomial matrices
Smith factorization
Time domain analysis
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Summary: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.
DOI:10.1109/ICARCV.2010.5707888