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Memoryless System

This is a very straightforward system. It means that the value of the output can only depend on the current time. If the value of the output depends on either the past or the future, then the system is said to have memory.

An example of a system that is memoryless would be a resistive circuit. Take a voltage divider with a gain of 0.5 for example. The mathematical model of the this system would be y(t)=0.5*x(t).

give an example of a system that satisfies the property along with an example of a system that does not satisfy it, proving in each case why this is true.

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