What Is an Image Response?

The step response of a system in a given initial state includes the time evolution of its output when its control input is a Heaviside step function. In electronic engineering and control theory, the step response is the reflection of the output of a general system when the input quantity changes from 0 to 1 in a very short time. The application of this function and the impulse function can conveniently describe the excitation and response of dynamic circuits. The impulse response is the derivative of the step response. ^[1]

which is

The step response g (t) is defined as: the system generated by the unit step signal u (t)

There will be a certain fluctuation at the beginning of the response, and then it will approach the stable value until it can be determined as a stable state.

From a practical perspective, it is important to understand how the system responds, because large and fast deviations from long-term steady states can have a dramatic impact on the component itself and other parts of the entire system that depend on that component. In addition, the entire system cannot respond until the output of the component stabilizes to somewhere near its final state, thereby delaying the overall system response. Therefore, understanding the step response of a system gives information about the stability of such a system and its ability to reach a stationary state when booting from another system.