Routh-Hurwitz Criterion

The Routh-Hurwitz Criterion is a method used in control systems engineering to determine if a system is stable—that is, whether it will react predictably without oscillations or divergence. It involves creating a special table from the system’s characteristic equation and analyzing the signs of the first column. If all entries are positive (or follow a specific pattern), the system is stable. This technique provides a quick, algebraic way to assess stability without solving complex equations, ensuring that the system will perform reliably in practical applications.