Characteristic polynomial assignment in 2-dimensional discrete systems

The characteristic polynomial assignment for discrete 2-dimensional systems described by the Fornasini-Marchesini model is considered. The similarities and differences of the solutions to this problem, using Roesser´s and Fornasini and Marchesini´s models, are discussed. Furthermore, the assignment of a part of the characteristic polynomial and the simultaneous calculation of the residual polynomial for the Fornasini-Marchesini model is considered.