Control means the restriction of an activity, tendency, or phenomenon; it can also mean to keep something under control or within limits.
Restrain means to prevent someone or something from doing something or to keep them under control or within limits.
Thus,
Restrain is the closest synonym among the options.
Influence means to have an effect on something, which is weaker than control.
Regulate is a related near synonym, but it usually means to control the rate or speed of a machine or process, so it is narrower.
Dominate means to have power or influence over something, which is a possible sense of control but not the best match for the restriction or restraint sense.
Therefore, the synonym of
Control is
Restrain.