WHAT IS THIS DOCUMENT ABOUT? :
Throughout this paper we present some stability criterions for special non-linear discrete Volterra systems. Our method is based on a factorization algorithm which decomposes the original system as a star-product of a operator and a linear series. Then the stability of the linear series guarantees the stability of the original non-linear system too. An extension in the case of Volterra systems containing products among inputs and outputs as well as some open-loop stability techniques are also provided