New definition of multiple-root sensitivity |
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Authors: | Phan C.S. Kim H.K. |
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Affiliation: | University of Manitoba, Department of Electrical Engineering, Winnipeg, Canada; |
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Abstract: | The sensitivity of a simple root of a polynominal is finite and well defined. For a multiple root, however, the existing definition becomes infinite, even when the root displacements remain finite. In this letter, a well behaved function is proposed to define a multiple-root sensitivity. It is also shown that the new definition, which degenerates to the conventional definition under a special condition, is a meaningful measure of actual root displacements. |
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