 |
Conference papers
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.
Cited literature [18 references]
https://hal-centralesupelec.archives-ouvertes.fr/hal-02276317
Contributor : Delphine Le Piolet <>
Submitted on : Tuesday, July 7, 2020 - 1:36:09 PM
Last modification on : Saturday, May 1, 2021 - 3:46:38 AM
Long-term archiving on: : Friday, November 27, 2020 - 1:25:13 PM
Contributor : Delphine Le Piolet <>
Submitted on : Tuesday, July 7, 2020 - 1:36:09 PM
Last modification on : Saturday, May 1, 2021 - 3:46:38 AM
Long-term archiving on: : Friday, November 27, 2020 - 1:25:13 PM
File
ACC17 Stability Analysis of Sy...
Files produced by the author(s)