Determine the stability of the system whose characteristics equation is:
All coefficients are positive and non-zero; therefore, the necessary condition for stability is satisfied. Let's write the Routh array:
At this stage, we see that the top row corresponding to can be divided by two to make the calculation a little bit easier. So, we go ahead and divide that row by two:
Let's continue writing the Routh table:
Since there are two sign changes in the first column, the characteristic equation has two roots with negative real parts. Therefore, the system is unstable.