4 citations · 4 across the 5 of their papers we have counts for
5 papers
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…
Effective operators and their variational principles for discrete electrical network problems
Kenneth Beard, Anthony Stefan, Robert Viator +1
Using a Hilbert space framework inspired by the methods of orthogonal projections and Hodge decompositions, we study a general class of problems (called Z-problems) that arise in e…
Continuity of the roots of a nonmonic polynomial and applications in multivariate stability theory
Anthony Stefan, Aaron Welters
We study continuity of the roots of nonmonic polynomials as a function of their coefficients using only the most elementary results from an introductory course in real analysis and…
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…
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…