👉 In mathematics, routh's stability criterion is a condition that an autonomous system of linear differential equations must satisfy to be stable. This condition ensures that the eigenvalues of its characteristic polynomial are in a certain range. The routh's stability criterion states that if there exist real numbers λ1, ..., λn such that: λ1^2 + ... + λn^2 = 0 and λ1 + ... + λn = 0, then the system is stable. The
