The phrase "controlled by" is commonly used to describe a situation where something is being managed or influenced by an external force or entity. However, there are several synonyms for this phrase that can be used to convey a similar meaning. Some examples include "governed by," "commanded by," and "ruled by." Other phrases that can be used to describe a situation where something is being controlled include "subject to the authority of," "dominated by," and "regulated by." Whatever the synonym used, it is clear that the overall meaning remains the same and conveys the idea of external influence and control over a given situation or entity.