A control system including a friction engagement element, a solenoid valve, an engagement pressure control valve and an electronic control unit, wherein a learning correction amount is divided into an initial learning amount that has no dependence upon an engagement pressure command value and a time-dependent deterioration amount that has dependence upon the engagement pressure command value, and wherein a time-dependent deterioration correction amount is determined according to the engagement pressure command value and a degree of progress of time-dependent deterioration that is indicated by a difference between a learning region correction amount and an initial learning amount which are obtained by a learning control in a learning region that is a limited input torque region, and a final engagement pressure command value is calculated as the learning correction amount by adding the initial learning amount at the time of correction to the time-dependent deterioration correction amount.