Robustness of exponential attractors for infinite dimensional dynamical systems with small delay and application to 2D nonlocal diffusion delay lattice systems

We first present some sufficient conditions for the construc-tion of a robust family of exponential attractors for infinite dimensional dy-namical systems with small time delay perturbation. In particular, we prove that this family of exponential attractors is stable in the sense of the symmet-ric Hausdorff distance as the delay effects vanish. The abstract result is then applied to two-dimensional nonlocal diffusion lattice systems with small delay.