A control system for a vehicle, the control system comprising: a selectable one-way clutch including an engagement mechanism, the engagement mechanism including a first member and a second member, the second member being configured to rotate relative to the first member, the engagement mechanism being configured to be switched between an engaged state and a disengaged state, the engaged state being a state in which relative rotation between the first member and the second member in one of a positive rotational direction and a reverse rotational direction is restricted, and the disengaged state being a state in which the relative rotation between the first member and the second member in the one of a positive rotational direction and a reverse rotational direction and relative rotation between the first member and the second member in the other one of the positive rotational direction and the reverse rotational direction are permitted; a motor configured to rotate one of the first member and the second member an electronic control unit configured to apply torque to the one of the first member and the second member by using the motor such that the relative rotation in the other one of the positive rotational direction and the reverse rotational direction is generated between the first member and the second member when the engagement mechanism is switched from the engaged state to the disengaged state, the electronic control unit being configured to maintain a difference in rotational speed between the first member and the second member at a target value in a state that the relative rotation in the other one of the positive rotational direction and the reverse rotational direction is generated; and an internal combustion engine, characterized in that the other one of the first member and the second member is configured such that torque of the internal combustion engine acts on the other one of the first member and the second member, and the target value is a value at which an absolute value of the rotational speed of the relative rotation in the other one of the positive rotational direction and the reverse rotational direction is maintained to be larger than "0" even when the torque of the internal combustion engine fluctuates in a process of switching the engagement mechanism from the engaged state to the disengaged state. a selectable one-way clutch including an engagement mechanism, the engagement mechanism including a first member and a second member, the second member being configured to rotate relative to the first member, the engagement mechanism being configured to be switched between an engaged state and a disengaged state, the engaged state being a state in which relative rotation between the first member and the second member in one of a positive rotational direction and a reverse rotational direction is restricted, and the disengaged state being a state in which the relative rotation between the first member and the second member in the one of a positive rotational direction and a reverse rotational direction and relative rotation between the first member and the second member in the other one of the positive rotational direction and the reverse rotational direction are permitted; a motor configured to rotate one of the first member and the second member an electronic control unit configured to apply torque to the one of the first member and the second member by using the motor such that the relative rotation in the other one of the positive rotational direction and the reverse rotational direction is generated between the first member and the second member when the engagement mechanism is switched from the engaged state to the disengaged state, the electronic control unit being configured to maintain a difference in rotational speed between the first member and the second member at a target value in a state that the relative rotation in the other one of the positive rotational direction and the reverse rotational direction is generated; and an internal combustion engine, characterized in that the other one of the first member and the second member is configured such that torque of the internal combustion engine acts on the other one of the first member and the second member, and the target value is a value at which an absolute value of the rotational speed of the relative rotation in the other one of the positive rotational direction and the reverse rotational direction is maintained to be larger than "0" even when the torque of the internal combustion engine fluctuates in a process of switching the engagement mechanism from the engaged state to the disengaged state.