Network traffic in the transport layer of endto-end congestion networks plays a vital role in effecting the throughput in the Medium Access Control (MAC) layer. Common queue length management techniques on nodes in such networks focus on servicing the packets based on their Quality of Service (QoS) requirements (e.g., DifferentiatedServices, or DiffServ, networks). In this paper, a continuous control strategy is suggested for a DiffServ network to track the desired ensemble average queue length level specified by the network operator. A Lyapunov-based stability analysis is provided to illustrate global asymptotic tracking, and simulations demonstrate the performance and feasibility of the controller, along with showing global asymptotic tracking of the queue lengths in the Premium Service buffer.