Conn. Gen. Stat. § 1-229

Any hearing being held, or noticed or ordered to be held, by the public agency at any meeting may by order or notice of continuance be continued or recontinued to any subsequent meeting of such agency in the same manner and to the same extent set forth in section 1-228 , for the adjournment of meeting, provided, that if the hearing is continued to a time less than twenty-four hours after the time specified in the order or notice of hearing, a copy of the order or notice of continuance of hearing shall be posted on or near the door of the place where the hearing was held immediately following the meeting at which the order or declaration of continuance was adopted or made.