Abstract
Stability criteria involving the equation of root-pair-sums often contain redundant inequalities. The present paper shows that if a certain inequality is non-redundant for a system of given order, then a corresponding inequality is non-redundant for a system of higher order. This property enables some non-redundant inequalities to be identified in the Routh criteria and in the Arapostathis-Jury criteria for systems of order greater than four.
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