Snikers
I would really need to know more about the usage of the marine gas turbine installation you are involved with. But in general, these engines are monitored the same as the aircraft turbine engines from which they were derived. On board a ship, the gas turbine is used for both electrical power generation as well as providing the power to the props. As in any gas turbine, oil is consumed and usage is monitored to keep proper operating level as is vibrations that could indicate several things going wrong. In general, barit1 gave you a very good explanation of an important monitoring feature of these installations. Any complete shut down is generally in the hands of the operator although the control system may reduce the engine to idle while the problem is assessed.