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Special Case of Routh Array II : Numerical 2
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Special Case of Routh Array II : Numerical 1
Special Case 2
The terms in a row of Routh’s Array equal to zero.
The terms in the next row cannot be determined and Routh test fails.
Auxiliary Equation Method
The A.E. is formed by using the coefficients of row just above the rows of zeros.
The A.E. is formed by using the alternate powers of s starting from
power indicated against it.
Find equation dA(s)/ds = 0 by taking the derivative of A.E. w.r.t s.
Replace the rows of zeros by coefficients of dA(s)/ds = 0 .
Complete the array using these new row coefficients.
Q2. For the system with C.E. : F(s) =〖〖 𝑠〗^𝟔+𝟐𝑠〗^𝟓+〖𝟖𝑠〗^𝟒+ 〖𝟏𝟐𝑠〗^𝟑+〖𝟐𝟎𝑠〗^𝟐+𝟏𝟔𝐬+𝟏𝟔 =0
Check the stability of given C.E. by Routh’s Method.
#RouthHurwtizSpecialCase2
Special Case 2
The terms in a row of Routh’s Array equal to zero.
The terms in the next row cannot be determined and Routh test fails.
Auxiliary Equation Method
The A.E. is formed by using the coefficients of row just above the rows of zeros.
The A.E. is formed by using the alternate powers of s starting from
power indicated against it.
Find equation dA(s)/ds = 0 by taking the derivative of A.E. w.r.t s.
Replace the rows of zeros by coefficients of dA(s)/ds = 0 .
Complete the array using these new row coefficients.
Q2. For the system with C.E. : F(s) =〖〖 𝑠〗^𝟔+𝟐𝑠〗^𝟓+〖𝟖𝑠〗^𝟒+ 〖𝟏𝟐𝑠〗^𝟑+〖𝟐𝟎𝑠〗^𝟐+𝟏𝟔𝐬+𝟏𝟔 =0
Check the stability of given C.E. by Routh’s Method.
#RouthHurwtizSpecialCase2
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