Under a connected environment, demand information such as vehicle routes in urban networks is accessible. Based on space-time trajectories, this article proposes a real-time network-wide coordinated control strategy within a rolling horizon scheme. A traffic demand framework involving route and arrival and departure times at each intersection is introduced to describe the space-time trajectories of vehicles in the network. In the coordinated control optimization algorithm, the following two steps are iterated: first, the departure time of vehicles with minimal total delay is optimized by a nonfixed intersection signal control model; then, the arrival time is updated according to the departure time and the link travel time. The intersection signal control strategy is composed of a duration division, vehicle aggregates, and an optimization model, where the signal timing plan with minimal delay can be obtained via the departure time. The simulation results indicate that the proposed approach is capable of optimizing the signal timing plan and decreasing vehicle delay given the demand information of vehicles.