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I do not understand the controls input in analysis tool. it looks like redundency...
if I use motion or states, the trajectory is fixed, so how the controls influence the results?
or what is the propose of the controls in the analisys?

can anyone explain the difference between this and forward (or inverse) dynamics?

if I use motion or states, the trajectory is fixed, so how the controls influence the results?

A calculation that is performed by an Analysis may depend on states as well as controls. See, for example, Umberger2010MuscleMetabolicsProbe: https://simtk.org/api_docs/opensim/api_ ... ml#details.