The model matching problem for a class of polynomial non-linear discrete input_output systems with cross-products. An algorithmic approach

摘要

In this paper we examine the model matching problem that concerns non-linear input_output discrete systems, containing products among delays of input and output signals, through a special factorisation. The algebraic framework of δ_-operators and the star-product that we adopt describe these systems. Moreover, a certain procedure that resembles the Euclidean division allows us to discover the linear factors of those systems, with respect to the above mentioned operations. The entire approach is symbolically algorithmic and involves the use of suitable software.