Time-variant System - Time-variant System: Elaboration

Time-variant System: Elaboration

By definition, the input–output characteristics vary with time. Let:

• x(t) be an excitation signal.
• T(x(t), t) be the describe the input–output map of a system in relaxed state.
• y(t) be the system's output response to the excitation signal.

If the excitation signal is delayed by time k (i.e., x(t-k)) and the output response is not equivalent to a delayed version of the original output, then the system is time variant.