Stability analysis of uncertain systems through Routh’s criterion

Routh’s Stability Criterion is a simple and useful tool for stability analysis of control systems. In this work, it is proposed a method In this work, it is proposed a method for stability study of uncertain systems dx(t)/dt=(Ao+ A)x(t), using Routh’s Stability Criterion in the analysis of the eigenvalues of Ao+ A. The method determines the range of values of a that guarantees the asymptotic stability of the system. An analog application for negative output feedback systems given by dx(t)/dt=(A-BKC)x(t), where K=kI, is also presented.