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The six basic properties of Systems_Old Kiwi
Memory_Old Kiwi
A system with memory has outputs that depend on previous (or future) inputs.
Example of a system with memory: $ y(t) = x(t - \pi) $
Example of a system without memory: $ y(t) = x(t) $
Invertibility_Old Kiwi
An invertible system is one in which there is a one-to-one correlation between inputs and outputs.
Example of an invertible system: $ y(t) = x(t) $
Example of a non-invertible system: $ y(t) = |x(t)| $
(both x(t) = -3 and x(t) = 3 yield the same result)
