An internal-combustion engine can be operated in a homogeneous charge compression ignition mode at least under certain operating conditions. The combustion mixture present in the combustion chamber reaches auto-ignition conditions and ignites itself. The internal-combustion engine includes a triggering unit for triggering the auto-ignition during the homogeneous charge compression ignition mode before the auto-ignition conditions have been reached. The triggering unit is constructed as a corona ignition system and can be operated for triggering the auto-ignition during the homogeneous charge compression ignition mode, particularly by generating a non-thermal plasma.