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

Chi Jin (1) , Keqin Gu (2) , Islam Boussaada (1) , Silviu-Iulian Niculescu (1, 3)

1 L2S - Laboratoire des signaux et systèmes
2 SIUE - Southern Illinois University [Edwardsville]
3 DISCO - Dynamical Interconnected Systems in COmplex Environments

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.

Domains: Automatic Control Engineering

Chi Jin, Keqin Gu, Islam Boussaada, Silviu-Iulian Niculescu. Stability Analysis of Systems with Delay-Dependant Coefficients a two-Parameter Approach. ACC 2017 - American Control Conference, May 2017, Seattle, WA, United States. ⟨10.23919/acc.2017.7963847⟩. ⟨hal-02276317⟩