Modular Möbius number systems consist of Möbius transformations with integer coefficients and unit determinant. We show that in any modular Möbius number system, the computation of a Möbius transformation with integer coefficients can be performed by a finite state transducer and has linear time complexity. As a byproduct we show that every modular Möbius number system has the expansion subshif...

This paper presents a comprehensive picture of the mapping of structural properties associated with general linear multivariable systems under bilinear transformation. While the mapping of poles of linear multivariable systems under such a transformation is well known, the question of how the structural invariant properties of a given system are mapped remains unanswered. This paper addresses t...