Editing Time-invariant system (section)

== Simple example ==

To demonstrate how to determine if a system is time-invariant, consider the two systems:

* System A: <math>y(t) = t x(t)</math>
* System B: <math>y(t) = 10 x(t)</math>

Since the '''System Function''' <math>y(t)</math> for system A explicitly depends on ''t'' outside of <math>x(t)</math>, it is not [[time-invariant]] because the time-dependence is not explicitly a function of the input function.

In contrast, system B's time-dependence is only a function of the time-varying input <math>x(t)</math>. This makes system B [[time-invariant]].

The '''Formal Example''' below shows in more detail that while System B is a Shift-Invariant System as a function of time, ''t'', System A is not.