%0 Conference Paper %F Oral %T Insights on asymptotic behavior of characteristic roots of quasi-polynomials with delay-dependent coefficients in some ill-posed cases %+ Universidad Autonoma de San Luis Potosi [México] (UASLP) %+ Laboratoire des signaux et systèmes (L2S) %+ City University of Hong Kong [Hong Kong] (CUHK) %A Martínez-González, A. %A Méndez Barrios, César Fernando %A Niculescu, Silviu-Iulian %A Chen, Jie %F Invité %< avec comité de lecture %B 7th Symposium on System Structure and Control (SSSC) and 15th workshop on time-delay systems (TDS) %C Sinaia, Romania %S Proceedings of joint IFAC 7th Symposium on System Structure and Control (SSSC) %8 2019-09 %D 2019 %R 10.1016/j.ifacol.2019.12.209 %Z Computer Science [cs]/Automatic Control EngineeringConference papers %X This work focus on the asymptotic behavior of critical roots of linear time-delay systems with delay-dependent coefficients. Our main goal is to derive a simple methodology to characterize some ill-posed cases from the open literature. In order to accomplish such a task, our main tool will be to express the solutions as a convergent power series. More specifically, by means of an appropriate change of variable, the expansion of unbounded solutions is obtained, which allows to derive an appropriate auxiliary solution that serves to analyze the behavior of such solutions. One of the main benefits in adopting such an approach, is that stability analysis in the ill-posed cases can also be covered. %G English %L hal-02329207 %U https://centralesupelec.hal.science/hal-02329207 %~ CNRS %~ UNIV-PSUD %~ SUP_LSS %~ SUP_SYSTEMES %~ CENTRALESUPELEC %~ UNIV-PARIS-SACLAY %~ UNIV-PSUD-SACLAY %~ CENTRALESUPELEC-SACLAY %~ GS-ENGINEERING %~ GS-COMPUTER-SCIENCE