Gas turbines operate on the Brayton cycle, which includes compression, combustion, and expansion processes, and can be classified based on combustion processes, gas paths, and actions of combustion gases. Key improvements in thermal efficiency are achieved through increasing turbine inlet temperatures, optimizing components, and modifying cycles with intercooling, regeneration, and reheating. Open cycle gas turbines offer advantages like low weight and no warm-up time, while closed cycle turbines exhibit better durability and lower maintenance, despite needing external cooling.