Abstract: The cause of open quantum systems,decoherence phenomena,its types,and its effects were analyzed and represented.Different kinds of methods and control strategies of suppressed decoherence were detailed summarized.The advantages and disadvantages of control strategies of suppressed decoherence in open quantum systems were exploited.In the end,the development direction of suppressed decoherence research was perspectived.

Key words: quantum control, open quantum systems, decoherence suppression, control strategy