The ‘ε method’ of Routh-Hurwitz criterion is examined. When roots occur on the imaginary axis it is found necessary to take the limit as c goes to zero, after each row is completed, to check for the occurrence of a row of zeros.
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References
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KuoB. C., Automated Control Systems, Prentice-Hall (1991)
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ByrneP. C., ‘On the Routh-Hurwitz Criterion’, IEEE Trans. Automatic Control, AC-20, pp. 178–179 (Feb.1975)