Some Remarks on the Asymptotic Behavior for Quasipolynomials with Two Delays

Abstract

This paper proposes an analytical method to characterize the behavior of critical multiple roots for quasi-polynomials with two delays. The proposed approach is based on the Weierstrass polynomial, that is employed as a tool to analyze the stability behavior of such characteristic roots with respect to small variations on the delay parameters. A numerical example illustrates the proposed results.