Quasipolynomial mapping based rootfinder for analysis of time delay systems

Abstract An original method for computing poles and zeros of time delay systems based on mapping the characteristic functions (quasipolynomials) of the system is presented. The method, which locates all the quasipolynomial roots in a bounded region, is based on mapping the real and imaginary parts of the quasipolynomial in the complex plane using the level curve tracing algorithm.

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