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Synchronization plays an important role in digital communication networks. A procedure for synchronizing the local clocks in an -node network is explored in this concise paper. The procedure, termed "discrete control correction," utilizes buffer contents and rates to derive correction signals to the local VCXO's. The system is formulated as a second-order matrix difference equation, which is examined for stability. A two-node network is analyzed as an example, and stability bounds are determined for the control parameters.