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?
Thanks in advance.

 

Make the tableau, do the calculations, and you have your answer.

 

Here is table and conditions for system to be stable:



Is it ok?

 

Did the problem have any restrictions on the value of the parameter a?