Some Remarks on the Asymptotic Behavior for Quasipolynomials with Two Delays

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. © 2018

Newton Diagram; Quasi-polynomial; Retarded systems; Weierstrass Polynomial Analytical method; Asymptotic behaviors; Characteristic roots; Delay parameters; Quasi-poly-nomial; Quasipolynomials; Retarded system; Stability behavior; Polynomial approximation

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