Memoryless System
A memoryless system is a system for which for any real number $ t_0 $, the output at $ t_0 $ depends only on that value of t.
A system with memory is a system whose output depends on the value $ t_0 $ as well as another value of t for any given $ t_0 $
Causal System
A system is causal if the output at any given time only depends on the input in present and past (not the future)
A system is not causal if the output at any given time depends on input in the future.
Linear System
1- Give a formal definition of a “memoryless system”. Give a formal definition of a “system with memory”.
2- Give a formal definition of a “causal system”. Give a formal definition of a non-causal system.
3- 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.
