When any person has been supported, wholly or in part, by the state in a humane institution, whether such person was admitted thereto as a pauper or indigent or otherwise, and any portion of the charges for which such person or his liable relatives were liable under the provisions of § 17b-223 remains unpaid, such person or such relatives, as the case may be, or the estate of any such person or such relatives, shall be liable to the state therefor, and the Commissioner of Administrative Services may, in the name of the state, bring a complaint therefor, against any liable person or persons, in any court having jurisdiction thereof in the county in which such liable person or the conservator or guardian of such patient resides, or, if several are liable, in the county in which any of them resides, and any other person who might, under the provisions hereof, have been made a defendant in such action may be cited in as a party defendant on motion of either party thereto. Said court may render judgment against the defendant, or each or any of the several defendants, in favor of the state for the balance of the charges remaining unpaid for which such defendants are liable, and payment of such judgment may be secured by attachment and execution issued thereon. The limitation of action provided in § 52-576 shall apply only to any such claim against a relative as such, and any claim by the state for reimbursement of the balance of the billed charges remaining unpaid from the estate of any deceased person shall be presented to the executor or administrator thereof within the time limited for the presentation of other claims against such estate.