Kharitonov's Theorem with Degree Drop: a Wronskian Approach
Optimization and Control
2025-02-21 v1 Classical Analysis and ODEs
Complex Variables
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.
Cite
@article{arxiv.2502.14754,
title = {Kharitonov's Theorem with Degree Drop: a Wronskian Approach},
author = {Jason Elsinger and Anthony Stefan and Aaron Welters},
journal= {arXiv preprint arXiv:2502.14754},
year = {2025}
}
Comments
14 pages, 2 figures