On stability of generalised systems of difference equation with   non-consistent initial conditions
  For given non-consistent initial conditions, we study the stability of a class of generalised linear systems of difference equations with constant coefficients and taking into account that the leading coefficient can be a singular matrix. We focus on the optimal solutions of the system and derive easily testable conditions for stability. 
Nicholas Apostolopoulos, Fernando Ortega, Grigoris Kalogeropoulos
math.DS