The invention includes a target-engine-speed acquisition element that acquires a target engine speed necessary to reduce engine speed, thereby stopping the engine at a target stop position; a crank-angle acquisition element that acquires a crank angle indicative of the position of a crankshaft; and a target-engine-speed correction element that corrects the target engine speed according to the acquired crank angle. Because the target engine speed is corrected according to the crank angle, the engine can be stopped at the target stop position even if the friction in the engine, the electric motor, etc. varies, the temperature or viscosity of the lubricating and cooling oils varies, or the vehicle is accelerated or decelerated during the reduction of the engine speed.