This paper establishes some lower bounds on the impulse response of the SISO(single-input, single-output) stable systems imposed by zeros located in the convergence region of the system. In the nonminimum phase systems, the other bounds are derived, which are more severe than that of minimum phase system owing to the RHP(right half plane) zeros. The lower bounds proposed in this paper show the trade-off relations between the maximum magnitude of the impulse response and the achievable settling time.