Given the system
In what interval of a is the system asymptotically stable, and for what value of a is the system stable/unstable if such a case even exists?
For a system to be asymptotically stable the real part of all eigenvalues must be negative.
Since we are dealing with a matrix, I used maple to find the eigenvalues from the system matrix. I also tried to use Maple to solve the inequality case for the eigenvalues, but I don't think I'm getting correct results.
The results I get from Maple state that the system is asymptotically stable when
I spoke with my peers, and they said that this interval of a is wrong. Can anyone see what is going wrong?