# Routh–Hurwitz stability criterion

#### xxxyyyba

Joined Aug 7, 2012
289
I'm learning control theory and I have to solve one example from book.
Using Routh criterium, test stability of system which has characteristic equation $$f(s)=s^{3}+(a+6)s^{2}+(5a+10)s+6a+3$$.
Any idea?

#### Papabravo

Joined Feb 24, 2006
18,431

#### xxxyyyba

Joined Aug 7, 2012
289
Here is table and conditions for system to be stable:

Is it ok?

#### Papabravo

Joined Feb 24, 2006
18,431
Did the problem have any restrictions on the value of the parameter a?