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arXiv · 1408.2143

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

A. E. Frazho·S. ter Horst·M. A. Kaashoek
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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 $\sup_{|z|\leq 1}\|X(z)\|\leq 1$. 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 $K$.

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A. E. Frazho, S. ter Horst, M. A. Kaashoek. 2014-08-09. State space formulas for stable rational matrix solutions of a Leech problem. https://arxiv.org/abs/1408.2143

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