Determine if the system is stable
Find the transfer function in Laplace domain.
Find the poles.
If Re{p_i} &lt; 0 for all the poles the system is stable. Or in other words if all the poles are left of the Im axis, the system is stable. (This is only true for causal systems, which this system is.)

Here is a previous question that might help you understand better: https://electronics.stackexchange.com/questions/29647/how-to-determine-a-system-is-stable-using-pole-zero-analysis#:~:text=In%20summary%2C%20if%20you%20have,closed%2Dloop%20system%20is%20stable.