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Nowadays, we are in the beginning of a revolution in technology. The revolution is entrance of quantum theory to the world of technology. An essential task for the quantum technology is the development of the general principles of quantum control theory. Thus, it is required that control engineers enter to this topic. In this paper, a survey and comparision on the dynamics and models of quantum systems such as BLM for open loop control and MME, SME and LQSDE for close loop control are done. In addition, their applications are considered. Also, a survey on quantum network is done that link the control engineering to quantum theory. Quantum network theory analyzes the subsystems interconnections and total model. This paper followed by the concept of stability based on the quantum version of small gain theorem. Also, the concept of quantum systems controllability and investigation of controllability, which determines possibility of atomic or molecular transformation especially in open loop control, are considered. Finally, conclusions and discussion on the mentioned topics have been done

Keywords: Quantum control, Quantum Systems Modeling, Stochastic Master Equation, Quantum Network, Stability, Controllability

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