Optimality of Affine Policies in Distributionally Robust Linear-Quadratic Control with Temporally Correlated Noise
We study finite-horizon distributionally robust linear-quadratic control with disturbances that can be arbitrarily correlated in time. The ambiguity set is modeled as a single 2-Wasserstein ball centered at a nominal elliptically contoured distribution of the disturbances. Despite the infinite-dimensionality of both th...