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Internet-motivated video streaming systems face such complicated issues as a high degree of network-resource sharing amongst many flows, which potentially leads to deadlocks. Using siphons and their corresponding dangerous markings, this work investigates a method to enforce control iteratively. At each iteration, a generalized mutual exclusion constraint is produced to keep only those markings under which liveness is enforced. Furthermore, a generalized elementary siphon control method is proposed such that the final supervisor is structurally simple. Examples are used to illustrate the proposed approach.