[hal-00504723] Schur parametrizations and balanced realizations of real discrete-time stable all-pass systems

We investigate the parametrization issue for real discrete-time stable all-pass multivariable systems by means of a real tangential Schur algorithm. A recursive construction of balanced realizations is associated with it, that possesses a very good numerical behavior. A chart selection strategy is given which makes use of the real Schur form of the dynamic matrix. Application to rational L2-approximation is considered.



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