Question

state routh criterion

Answer 1

Routh's criterion: A system is stable if and only if all the elements in the first column of the Routh array are positive.

Routh array: The first two rows of the Routh array are composed of the even and odd coefficients of the characteristic polynomial, respectively, while the remaining rows are composed of elements derived from the first two rows.

The elements from the third row on are computed based on the determinant of a 2 by 2 array composed of the two elements of the first column of the previous two rows and the two elements of the subsequent columns. Any missing coefficient is represented by a zero.