On exponential stability of a class of descriptor continuous linear 2D Roesser models

This article is dedicated to the exponential stability of a class of descriptor continuous Roesser 2D linear models. One of the two dimensions is privileged so that the exponential stability must be mainly understood as the vanishing propagation of the state vector along that dimension. This stability is analysed through a tractable test based upon Linear Matrix Inequalities (LMI).