A memory device includes: a generator system having a number of generators that supply voltage or current to the memory device, a controller that supplies to the generator system a state control signal that commands the generators to be in an active state or a standby state, and a self-refresh oscillator that generates a self-refresh clock signal having a period suitable to refresh memory cells of the memory device. The controller uses the self-refresh clock signal to delay transitions of the state control signal from the active state to the standby state relative to corresponding state changes of at least one external signal received by the memory device.