State space formulas for stable rational matrix solutions of a Leech problem

Abstract

Given stable rational matrix functions $G$ and $K$, a procedure is presented to compute a stable rational matrix solution $X$ to the Leech problem associated with $G$ and $K$, that is, $G(z)X(z)=K(z)$ and ${\sup }_{|z|\le 1}\Vert X(z)\Vert \le 1$. The solution is given in the form of a state space realization, where the matrices involved in this realization are computed from state space realizations of the data functions $G$ and $K$.

25 pages

Cited by in corpus (1)

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