With no written lease agreement, they are considered "at will" tenants and therefore as month to month tenants. You can do two things...1) have them evicted, and 2) sue them for nonpayment of rent. You do not want to simply lock them out...you want to go through the eviction process.
I hope this has given you the guidance you were seeking. I wish you the best of luck!
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The information given here is not legal advice. As all states have different intricacies in their laws, the information given is general only. This communication does not establish an attorney-client relationship with you. I hope this answer has been helpful to you.