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Proceedings of the 9th International Conference Antibes, June 12–15, 1990

*frequency-domain*realization theory is developed for the class of autonomous, but not necessarily stationary, boundary-value linear systems. It is shown that this realization problem, which consists of coastructing autonomous boundary-value linear systems from prescribed input-output functions (weighting patterns), reduces to the factorization of several rational matrices in two variables having...

_{2}X"+A

_{1}X'+A

_{0}X=F(t), in terms of a solution of the algebraic matrix equation A

_{2}X

^{2}+A

_{1}X+A

_{0}=0 and without increasing the dimension of the problem.