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<p>In this paper, we present a simplified proof of Kharitonov’s Theorem, an important result on determining the Hurwitz stability of interval polynomials. Our new approach to the proof, which is based on the Wronskian of a pair of polynomials, is not only more elementary in comparison to known methods, but is able to handle the degree drop case with ease.</p>

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Kharitonov’s Theorem with Degree Drop: a Wronskian Approach

  • 期刊论文

  • 发表日期：

    2025年5月16日

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  • Anthony Stefan,
  • Aaron Welters,
  • Jason Elsinger

摘要

In this paper, we present a simplified proof of Kharitonov’s Theorem, an important result on determining the Hurwitz stability of interval polynomials. Our new approach to the proof, which is based on the Wronskian of a pair of polynomials, is not only more elementary in comparison to known methods, but is able to handle the degree drop case with ease.