The Routh-Hurwitz stability criterion is a mathematical test to determine if a linear time-invariant system is stable.
Instructions: Enter the coefficients of your characteristic equation (denominator of closed-loop transfer function).
The system is stable if all elements in the first column of the Routh table have the same sign (no sign changes).
Special cases handled:
- Zero in first column of a row (epsilon method)
- Entire row of zeros (auxiliary polynomial derivative method)
- Zero coefficients in characteristic polynomial (division by zero prevention)
- Sign changes counting for instability analysis
- Numerical precision issues and invalid calculations