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Control system We may come across two types of situations, while forming the Routh table Case 1-The first element of any row of the Routh array is zero. If any row of the Routh array contains only the first element as zero and at least one of the remaining elements have non-zero value, then replace the first element with a small positive integer, ϵ. And then continue the process of completing the Routh table. Now, find the number of sign changes in the first column of the Routh table by substituting ϵ tends to zero. 00:15 write column with power of S 00:30 fill the routh table using coefficients of characteristic equation 01:10 do multiplication 02:20 first element of a row is zero and we have a non zero value in the same row 02:45 substitute 0 by ϵ. 06:00 after finding all element of column replace ϵ by 0 08:50 check the first column to find stability 09:08 check the number of sign changes routh hurwitz routh stability criterion routh array special cases routh hurwitz criterion in control system routh criterion in control system routh hurwitz criterion special cases routh hurwitz criterion in control system problems routh hurwitz criterion in control system special case routh hurwitz criterion in control system examples routh hurwitz criterion of stability routh array method