exponential stability

Exponential stability refers to a system’s ability to return to a steady state quickly after a disturbance, with the difference from that steady state decreasing at an exponential rate. In simpler terms, if you disturb such a system, it will "snap back" to normal fast—much faster than if it decreased linearly. This property ensures rapid stabilization, meaning the system's errors or deviations diminish rapidly over time, leading to consistent and predictable behavior even when affected by small disturbances.