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Can Simulink accept multirate systems with different starting time

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Hello,
I need to have several multirate systems that have the same sample time but work at different moments.
Example:
System 1 has the sample time of 2 s and starts at the beginning of the simulation (so at 0s). It will work at 0, 2, 4,etc...
System 2 has the same sample time (2s) but works in between the samples of the first. Lets say it works at 1, 3, 5, etc...
A transfer function won't do as I need to treat the values obtained at the working sample time, not a value measured some steps before.
Thank you in advance

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