C Thread Starter Chrill3 Joined Mar 8, 2010 9 Oct 12, 2011 #1 I have a characteristic equation that yields s^3+as^2+s+b=0 I am supposed to determine the areas in ab-plane that correspond to a stabile system, I just dont know how to begin with, is it Ruth Hurwitz Iam supposed to use?, any hint is welcome
I have a characteristic equation that yields s^3+as^2+s+b=0 I am supposed to determine the areas in ab-plane that correspond to a stabile system, I just dont know how to begin with, is it Ruth Hurwitz Iam supposed to use?, any hint is welcome
t_n_k Joined Mar 6, 2009 5,455 Oct 12, 2011 #2 You can certainly use Routh-Hurwitz criterion. Presumably you are considering a linear time-invariant system. For your case \(s^3+as^2+s+b=0\) Two conditions must be met the coefficients of all terms on the LHS of the equation must be greater than zero. So in particular a and b must be greater than zero. a>b
You can certainly use Routh-Hurwitz criterion. Presumably you are considering a linear time-invariant system. For your case \(s^3+as^2+s+b=0\) Two conditions must be met the coefficients of all terms on the LHS of the equation must be greater than zero. So in particular a and b must be greater than zero. a>b