you need a thermostat. heat mats or heat tape do not work without a thermostat.
this is not a malfunction. heat mats and heat tape are designed to transform a constant amount of electricity into heat, they are not designed to reach a certain temperature. so when you run them unregulated, without a thermostat, the outcome will be unpredictable and the final temperature they eventually reach will be uncontrolled. its a design error of the setup, not a malfunction.