State space formulae for stable rational matrix solutions of a Leech problem
Ter Horst, S.
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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|≤1 ∥X(z)∥ ≤ 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.