I have been trying to prove the stability of a queuing system (stochastic), and the state-space I have obtained is uncountable.
I am aware of the Foster-Laypunov criterion, but as far as I know, it applies to systems with a countable state-space.
I want to enquire of stability conditions for the case with an uncountable state-space, and also if Foster's criterion can be extended to this case.
Please let me know!
Thank you.