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Conference papers
Insights on asymptotic behavior of characteristic roots of quasi-polynomials with delay-dependent coefficients in some ill-posed cases
Abstract : 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.
https://hal-centralesupelec.archives-ouvertes.fr/hal-02329207
Contributor : Delphine Le Piolet Connect in order to contact the contributor
Submitted on : Wednesday, October 23, 2019 - 2:43:01 PM
Last modification on : Thursday, November 18, 2021 - 3:02:02 AM
Contributor : Delphine Le Piolet Connect in order to contact the contributor
Submitted on : Wednesday, October 23, 2019 - 2:43:01 PM
Last modification on : Thursday, November 18, 2021 - 3:02:02 AM
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