Kharitonov's Theorem with Degree Drop: a Wronskian Approach

TL;DR

This paper offers a simplified, elementary proof of Kharitonov's Theorem using a Wronskian approach, effectively addressing the degree drop case in Hurwitz stability of interval polynomials.

Contribution

It introduces a novel, more accessible proof method for Kharitonov's Theorem that handles degree drop cases with ease.

Findings

Simplified proof of Kharitonov's Theorem

Effective handling of degree drop cases

Wronskian-based approach enhances understanding

Abstract

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.