In boost converters and other indirect energy transfer topologies, transient-oriented controllers are designed to facilitate a dynamic response that may range from minimum time up to minimum output voltage deviation. Since analytical definitions for these control laws can become quite complex, a large-signal stability verification is not immediate. This paper explores the existence of stability of indirect energy transfer converters that are controlled by either boundary or hybrid controllers and introduces a new simplified procedure for examination of large-signal stability of a given converter and load type using a graphical-analytical approach. The stability analysis and examination method are demonstrated on a boost converter loaded by resistive load and constant current load. The stability conditions are verified using a 30 W 3.3-to-12 V boost converter prototype, controlled by a programmable-deviation controller and time-optimal controller, verifying their large-signal stability.