Conn. Gen. Stat. § 46b-85

At the time of granting dissolution of a marriage to which one party is mentally ill or at any time thereafter, on application of either party or of the guardian or conservator of the mentally ill spouse, or of any person, town or other municipality charged with the support of the mentally ill spouse, or the Commissioner of Administrative Services if the state is charged, the court may make such order requiring support of the mentally ill spouse, or security for support, as may be proper. The court may set aside or alter any such order, at any time thereafter, on application of either party or of the guardian of the mentally ill spouse, or of any person, town or other municipality charged with support, or the Commissioner of Administrative Services if the state is charged. Any order providing for the support of the mentally ill party shall be enforceable in the same manner as orders relating to alimony.