Right Invertible Multiplication Operators and Stable Rational Matrix Solutions to an Associate Bezout Equation, I: The Least Squares Solution

Abstract

In this paper a state space formula is derived for the least squares solution X of the corona type Bezout equation G(z)X(z) = Im. Here G is a (possibly non-square) stable rational matrix function. The formula for X is given in terms of the matrices appearing in a state space representation of G and involves the stabilizing solution of an associate discrete… (More)

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