An ECU executes control processing including a step of executing engagement control on a K0 clutch when a D→N operation is performed, a step of keeping the K0 clutch engaged until an N→D operation is performed, a step of executing engagement control on a C1 clutch when the N→D operation is performed, a step of keeping the K0 clutch engaged when a request to operate an engine is issued following the elapse of a predetermined time α, and a step of executing disengagement control on the K0 clutch when a request to operate the engine has not been issued.