Stability of 2-D distributed processes with time-variant communication delays

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 timevariant communication delays are at £rst 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 £nite uncertainty sets. The result is a suf£cient condition for stability of the described process.