# Stabilize problem properties in controlsystem

#### Chrill3

Joined Mar 8, 2010
9
I have a characteristic equation that yields
s^3+as^2+s+b=0
I am supposed to determine the areas in ab-plane that correspond to a stabile system, I just dont know how to begin with, is it Ruth Hurwitz Iam supposed to use?, any hint is welcome

#### t_n_k

Joined Mar 6, 2009
5,455
You can certainly use Routh-Hurwitz criterion. Presumably you are considering a linear time-invariant system.

$$s^3+as^2+s+b=0$$