A control apparatus includes one or more memories; and one or more processors configured to in response to reception of a first message, by referring to a reception history of one or more messages received prior to the received first message, determine whether a second message having a second timestamp newer than a first timestamp of the received first message has been received, when the second message has been received, perform a first process on the first message and a second process on the second message in order indicated by the first timestamp and the second timestamp, and transmit, to an apparatus to which the first message is transmitted next, a first correction notification including an instruction to correct order of processes executed by the apparatus with respect to the first message and the second message.