State space formulae 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 | ≤ 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 .