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Memoryless System
A system is memoryless if for any $ t \in \mathbb{R} $ the output at $ t_0 \, $ depends only on the input at $ t_0 \, $
In other words it doesn't depend on past or future events or information.
System With Memory
A system has memory it's output at any given time depends somehow on either a past and/or future event or piece of information.
Causal System
A system is causal if it's output at any time doesn't depend on a future event/piece of information. In other words it's output at any given time only depends on past or present events/information.
Non-causal System
Any system thats output at any given time depends on a future event or piece of information isn't a causal system.
Linear System
A system is linear if it upholds both additivity and multiplicity.
In mathematical terms the following must be satisfied:
$ y[a+b]=y[a]+y[b] \, $
$ y[ka]=ky[a] \, $
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Give a formal definition of a “linear system”. Give a formal definition of a “non-linear system”.
4- Give a formal definition of a “time invariant system”. Give a formal definition of a “time variant system”.
5- Give a formal definition of a “stable system”. Give a formal definition of an unstable system.
