3 papers
math.OC2025
Kharitonov's Theorem with Degree Drop: a Wronskian Approach
Jason Elsinger, Anthony Stefan, Aaron Welters
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 proo…
math.CV2021
A Short Proof of the Symmetric Determinantal Representation of Polynomials
Anthony Stefan, Aaron Welters
We provide a short proof of the theorem that every real multivariate polynomial has a symmetric determinantal representation, which was first proved in J. W. Helton, S. A. McCullou…
math.CV2020
Extension of the Bessmertnyi Realization Theorem for Rational Functions of Several Complex Variables
Anthony Stefan, Aaron Welters
We prove a realization theorem for rational functions of several complex variables which extends the main theorem of M. Bessmertnyi, "On realizations of rational matrix functions o…