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In the post originally termed: "What is the difference between a causal system and a memory system?", someone corrected the term "memory system" to "memoryful", as opposed to memoryless. And this was validated (while I was hesitating, way to long, to modify or reject the edit). I threfore suggested in comments that "memory system" or "non-memoryless system" were the only versions I have heard of.

But... what shall we do?

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There is a standard term for a system with memory: a dynamic system. So the title could have been either

What is the difference between a causal system and a system with memory?

or

What is the difference between a causal system and a dynamic system?

No need to invent any extra terms.

PS: After checking the original post, it appears that my first suggestion has already been agreed upon.
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  • $\begingroup$ Ok, memoryful was corrected in the meantime $\endgroup$
    – Laurent Duval
    Commented Oct 13, 2021 at 12:01

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