Abstract: Aiming at the group consensus problem of second-order multi-agent networks, we propose a group consensus control protocol based on the pinning control strategy. Considering that the network model has switching topologies, we introduce the corresponding virtual leaders into the model. The consensus protocol given for each agent in the network relies on the position information and the velocity information from the neighboring agents and the pinning control from the virtual leaders. Furthermore, the pinning control from the virtual leaders can be time-varying. Using algebraic graph theory, linear matrix inequality, and Lyapunov stability theory, we analyze the group consensus and provide some sufficient conditions on the consensus for the multi-agent networks with switching topologies. Finally, numerical simulations verify the validity of the theoretical results.