Ομιλητής : Prof. Antoine Chaillet (L2S-CentraleSupélec and Université Paris-Saclay, Institut Universitaire de France) https://l2s.centralesupelec.fr/en/u/chaillet-antoine/
Ημερομηνία, ώρα : Τρίτη 22 Οκτωβρίου 2024, 13:30
Τοποθεσία : Αίθουσα Σεμιναρίων του Τομέα Μαθηματικών ΣΕΜΦΕ, κτ. Ε ‘, 2ος όροφος.
Τίτλος : “Stability and robustness of nonlinear time-delay systems: recent results and open questions”.
Περίληψη : “The input-to-state stability (ISS) property offers an interesting framework to study both stability and robustness of nonlinear systems. While this concept is now well developed in a finite-dimensional context, several important questions remain open when working with infinite-dimensional systems. This presentation will focus on a particular class of such systems, namely time-delay systems. We will review fundamental results to study ISS of time-delay systems, particularly through the tool of Lyapunov-Krasovskii functionals (LKF).
We will also report some recent results related to the possibility of deriving stability properties based on a LKF whose dissipation is merely in terms of the current value of the solution’s norm (point-wise dissipation). We will also list a series of open questions in the field and describe the partial answers obtained so far, with the secrete hope that some attendees will come up with novel ideas to tackle them!”