The problem of finite-horizon H_∞ tracking for linear continuous time-varying systems with stochastic parameter uncertainties is investigated for both, the state-feedback and the output-feedback control problems. We consider three tracking patterns which include the case where the reference signal is previewed in a fixed time-interval ahead. In the state-feedback case a game theory approach is applied where the controller plays against nature and where necessary and sufficient conditions are found for the existence of a saddle-point equilibrium. The output-feedback control problem is solved as a max-min problem with the application of a bounded real lemma. A simple example demonstrates the theory.