Stability

The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.

The time response of a linear time-invariant system is divided into transient and steady-state responses.

The transient response diminishes to zero over time. The steady-state response persists after the transient response has faded.

The stability of such a system is directly linked to the roots of the system's characteristic equat...