[edit] You can also consider the transient and steady states:
[1] steady state: https://en.wikipedia.org/wiki/Steady_state
[2] transient https://en.wikipedia.org/wiki/Transient_state
[edit]
My comment about the start doesn't actually address your concern about the end of the transient state. I think there are options. Any observable result can be considered the output of the system.
[edit]
Yoda would say "do or do not, there is no try." I prefer "there is only trying."
[edit]
i need coffee >.<