(a) Any state agency may include in any written agreement to which the agency is a party, provisions governing the following:
(1) The presentation, by or on behalf of any party thereto, of any or all claims that are required to be presented to the board arising out of or related to the agreement.
(2) The consideration and payment of the claims described in paragraph (1).
(b) As used in this section, “state agency” means any office, officer, department, division, bureau, board, commission or agency of the state, claims against which are paid by warrants drawn by the Controller.