Assuming that the following transfer function is given:
$$F(s)=\frac{\Sigma_{k=0}^m b_k s^k}{\Sigma_{k=0}^n a_k s^k}$$
$$m\le n$$
Lets say $g(t)$ is the step response to this transfer function.
How to find the $\max(|g(t)|)$ without solving numerical ODE equation (a numerical time domain simulation)?