Meaning : Demand as being one's due or property. Assert one's right or title to.
Example :
He claimed his suitcases at the airline counter.
Mr. Smith claims special tax exemptions because he is a foreign resident.
Meaning : Make undue claims to having.
Synonyms : assign
Meaning : Seize and take control without authority and possibly with force. Take as one's right or possession.
Example :
He assumed to himself the right to fill all positions in the town.
He usurped my rights.
She seized control of the throne after her husband died.