Control device of hybrid vehicle

A control device of a hybrid vehicle powered by an internal-combustion engine and a motor, wherein

• a catalyst that purifies exhaust gas is located in an exhaust passage of the internal-combustion engine, and
• the control device comprises:
• a learning unit configured to, during operation of the internal-combustion engine, learn a parameter for controlling a rotation speed of the internal-combustion engine so that a rotation speed of the internal-combustion engine during idling operation is equal to a target rotation speed;
• and
• a controller configured to stop the internal-combustion engine when a state where a correction amount of the parameter to cause the rotation speed during idling operation to be equal to the target rotation speed is equal to or greater than a predetermined value continues for equal to or greater than a predetermined time period, the correction amount being obtained by learning by the learning unit, wherein
• when the state where the correction amount is equal to or greater than the predetermined value continues for equal to or greater than the predetermined time period, the controller is configured to cause the internal-combustion engine to execute intermittent operation during which a stop and operation are repeated.