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To control the dynamics in QoS routing, a new concept, QoS fluctuation function (QFF) is introduced. QFF is a tool to compute the distribution state of network service resources, such as bandwidth and buffer. Also, the source QoS routing algorithm is generalized. The new QoS routing algorithm is equipped with mechanisms for QoS monitoring. Simulation experiments show that the new algorithms support stabilizing QoS and controlling the network overload, etc.