Abstract
While forming Routh's Array used for the determination of the stability of a system, it is sometimes advantageous to introduce an inflnitesimally small shift of the imaginary axis- This can avoid a situation resulting in a row of zeroes, since it introduces asymmetry.This method is also useful in using Routh-Hurwitz criterion to find out the root distribution correctly in the left-hand plane (LHP), on the imaginary axis and in the right-hand plane (RHP).An algorithm is developed for forming the array taking the first-order approximation only.
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