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( Time-invariant) A time-invariant system is one whose output does not depend explicitly on time.

Formal If S is the shifting operator (Sdx(t) = x(t - d)), then the operator T is called time-invariant, if

This property can be satisfied if the transfer function of the system is not a function of time except expressed by the input and output. This property can also be stated in another way in terms of a schematic

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

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