Stability analysis of a generalised 2D digital Roesser type systems via lagrange method

In this paper we investigate the asymptotic stability of a generalised 2-dimensional (2D) digital Roesser type filter, which is expressed by delayed partial difference equations. The work is carried out on the grounds of a doubly congruence transformation and the Lagrange method approach, which is applied on the transformed system to provide the stability conditions. It is worth pointing out that the reports on application of the Lagrange method on even non-delayed discrete systems is not vast as the z-transform and energy method. Finally, we note here that this paper is concerned with the stability analysis of delayed systems, which is still an emerging research field.