We derive the exact discrete model and the Gaussian likelihood function of a first-order system of linear stochastic differential equations driven by an observable vector of stochastic trends and a vector of stationary innovations.
Simos, T. (1996). Gaussian estimation of a continuous time dynamic model with common stochastic trends. Econometric Theory, 12(2), 361-373. https://doi.org/10.1017/S0266466600006630 (Original work published 1996)