A classification of the input-output behaviour of hybrid systems

A criterium for classification of hybrid systems is presented that is based on their input-output behaviour. Checking the criterium is possible with measurements but without a model of the system. The number of possible differentiations of the output signal as a response to any smooth input signal gives a continuity index for the system. All systems with a continuity index less than infinity can be called hybrid. Examples show the basic differences between the classes.