New results on the parametrization of J-spectral factors

Abstract: This paper considers a parametrization of a class of J spectral factors of a given J spectral density. The notion of J stable functions is introduced to define a partial ordering on the set of J spectral factors. Necessary and sufficient conditions for the existence of extremal J spectral factors are given and a number of explicit factorization results is derived which serve for the algorithmic aspects of computing specific J spectral factors. Keywords: J- spectral factors, factorization theory, linear systems