(a) When a controversy exists between spouses, or when a controversy relating to child custody or visitation exists between parents regardless of their marital status, and the controversy may, unless a reconciliation is achieved, result in dissolution of the marriage, nullity of the marriage, or legal separation of the parties, or in the disruption of the household, and there is a minor child of the spouses or parents or of either of them whose welfare might be affected thereby, the family conciliation court has jurisdiction as provided in this part over the controversy and over the parties to the controversy and over all persons having any relation to the controversy.
(b) The family conciliation court also has jurisdiction over the controversy, whether or not there is a minor child of the parties or either of them, where the controversy involves domestic violence.