Recent research on pole sensitivity due to polynomial coefficient perturbation has significantly improved the understanding and accuracy of estimating pole sensitivity. This brief presents an expression for the sensitivity analysis of rational transfer functions with repeated and localized poles, extending the existing expression for sensitivity due to simple pole. This analysis provides estimates for an important question relating to pole sensitivity: Given the polynomial coefficient accuracy and pole locations, what is the resulting pole displacement?.
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Place et al. (1997) studied this question.
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