Behaviour of the poles in transfer function $H(s)$, given system properties If a linear system is causal and its impulse response is an energy signal. What's the behaviour of the poles of $s$-domain transfer function $H(s)$?
A ROC can be chosen to make the transfer function causal and/or stable depending on the pole/zero plot. If the ROC extends outward from the outermost pole, then the system is causal.