Formal:
* Prescribe: This implies a formal or authoritative instruction.
* Stipulate: To specify a condition or requirement.
* Enjoin: To command or order someone to do something.
* Impose: To force something upon someone, often against their will.
* Pronounce: To declare something officially or authoritatively.
* Ordain: To establish something by law or decree.
Informal:
* Order: To give a command or instruction.
* Demand: To insist on something being done.
* Specify: To state something precisely or in detail.
* Lay down: To state something firmly or decisively.
* Call the shots: To be in control and make the decisions.
Other:
* Influence: To have a significant effect on something.
* Shape: To determine the form or character of something.
* Determine: To decide or establish something.
* Control: To exercise power over something.
* Regulate: To control something by means of rules.
It's important to choose the synonym that best fits the specific context and meaning you want to convey.