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This work presents an extension to qualitative simulation that enables a qualitative reasoning system to support variables that exhibit delayed reactions to their constraining functions. Information stored in the previous levels of the behavior tree is retrieved and used to constrain multiple delayed variables and to capture the time-delay behavior of the system. The extension is applicable to qualitative simulators that generate time-stamped behaviors. In particular, this is implemented and integrated with the existing fuzzy qualitative simulation algorithm. Results of an example application of this extended algorithm are provided.