Abstract
Motivated by the applications of parallel and distributed computing in m-D systems, this paper analyzes the effect of time-variant communication delays on the stability of 2-D systems. The time-variant communication delays are at first modeled and then used in the formulation of the 2-D Roesser local state space model. The arising overall dynamic system model is of uncertain, shift-variant form and it is described by finite uncertainty sets. The result is a sufficient condition for stability of the described process.