When will zeros of time-delay systems cross imaginary axis?

  title={When will zeros of time-delay systems cross imaginary axis?},
  author={Jie Chen and Peilin Fu and Silviu-Iulian Niculescu and Zhihong Guan},
  journal={2007 European Control Conference (ECC)},
A time-delay system may or may not be stable for different periods of delay. When will then a delay system be stable or unstable, and for what ranges of delay? This paper attempts to answer these questions. We show that by finding a set of critical delay values, for which the system's characteristic quasipolynomial has zeros on the imaginary axis, it is possible to determine its stability in the full range of the delay parameter by characterizing the analytical behaviors of the zeros. This… CONTINUE READING
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