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Dynamic spectrum access is one of the most important premises of spectrum reuse based on cognitive radio technologies, which are considered to be the best way to alleviate the controversy on spectrum scarcity and low efficiency. However, most of previous work focuses on the increasing of system throughput, ignoring the QoS requirement of secondary users. In this paper, dynamic spectrum access with QoS provisioning is studied. We adopt discrete-time Markov chain to analyze and model the spectrum usage in time-slotted cognitive radio networks. Furthermore, three admission control schemes are proposed to minimize the forced termination probability of secondary users. Simulation results show that our proposed schemes can significantly improve the forced termination probability of secondary users, though slightly increase the blocking probability.