control vs authority

control and authority both are nouns.

Word	Noun	Adjective	Verb	Adverb
control	Yes	No	Yes	No
authority	Yes	No	No	No

As nouns, authority is a hyponym of control; that is, authority is a word with a more specific, narrower meaning than control:

Other hyponyms of control include authorisation, authorization, dominance, potency, say-so, corporatism, hold, iron fist, rein.

control (noun)	authority (noun)
the activity of managing or exerting control over something	the power or right to give orders or make decisions
(physiology) regulation or maintenance of a function or action or reflex etc	official permission or approval
a mechanism that controls the operation of a machine	freedom from doubt; belief in yourself and your abilities
power to direct or determine	an authoritative written work
discipline in personal and social activities	an administrative unit of government
great skillfulness and knowledge of some subject or activity	an expert whose views are taken as definitive
a standard against which other conditions can be compared in a scientific experiment	(usually plural) persons who exercise (administrative) control over others
the economic policy of controlling or limiting or curbing prices or wages etc.
a spiritual agency that is assumed to assist the medium during a seance
a relation of constraint of one entity (thing or person or group) by another
the state that exists when one person or group has power over another

control (verb)	authority (verb)
have a firm understanding or knowledge of; be on top of
be careful or certain to do something; make certain of something
verify by using a duplicate register for comparison
handle and cause to function
maintain influence over (others or oneself) skillfully, usually to one's advantage
exercise authoritative control or power over
lessen the intensity of; temper; hold in restraint; hold or keep within limits
check or regulate (a scientific experiment) by conducting a parallel experiment or comparing with another standard
place under restrictions; limit access to by law