Zero cancellation

The problem of eliminating the right half plane zeros of an rmvf (rational matrix valued function) G(z) with minimal realization G(z) = D + C(zIn − A)−1B by multiplication on the right by a suitably chosen J-inner rmvf Θ(z) is studied. The analysis exploits the theory of Smith-McMillan forms to extend the method of J-lossless conjugators that was introduced by Kimura to more general settings.