Solve part a only using matlab Without using the RouthHurwit

Without using the Routh-Hurwitz criterion, determine if the following systems are asymptotically stable, marginally stable, or unstable. In each case, the closed-loop system transfer function is given. M(s) = 10 (s + 2)/s^3 + 3s^2 + 5s M(s) = s -1/(s + 5) (s^2 + 2)

Solution

MATLAB CODE:

%Given Transfer function.

M=tf([10 20],[1 3 5 0])

%Stability of the system decided by poles. So roots of denominator to be

%calculated.

DN=[1 3 5 0];

poles=roots(DN)

OUTPUT:

M =

10 s + 20
-----------------
s^3 + 3 s^2 + 5 s

Continuous-time transfer function.

poles =
0.0000 + 0.0000i
-1.5000 + 1.6583i
-1.5000 - 1.6583i

There one pole at zero, so it is marginally stable.