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Stability Analysis of Systems with Delay-Dependant Coefficients a two-Parameter Approach

Abstract : Stability of systems with a single delay and delay-dependent coefficients is studied along the line of the τ-decomposition approach. Criteria for determining crossing directions of imaginary characteristic roots with possibly mul-tiplicity are presented, with which system stability for any given delay value can be determined in a systematic way. In contrast to the previous research on this type of systems, our analysis is based on a novel two-parameter framework. With the new geometric insight, stronger criteria concerning the crossing direction of imaginary characteristic roots with possibly multi-plicity can be obtained using simplified and intuitive arguments. The stability analysis procedure is illustrated with an example inspired by biological applications.
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Chi Jin, Keqin Gu, Islam Boussaada, Silviu-Iulian Niculescu. Stability Analysis of Systems with Delay-Dependant Coefficients a two-Parameter Approach. American Control Conference (ACC), May 2017, Seattle, WA, United States. ⟨10.23919/acc.2017.7963847⟩. ⟨hal-02276317⟩

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