BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Lucas Brivadis (L2S\, CNRS\, University Paris Saclay\, France)
DTSTART:20240214T160000Z
DTEND:20240214T170000Z
DTSTAMP:20260408T052404Z
UID:ISS-Theory/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ISS-Theory/4
 0/">Forward completeness and bounded reachability sets for time-delay syst
 ems: the role of the state space</a>\nby Lucas Brivadis (L2S\, CNRS\, Univ
 ersity Paris Saclay\, France) as part of Input-to-State Stability and its 
 Applications\n\n\nAbstract\nA dynamical system is forward complete (FC) if
  its solutions are well-defined for all future times. If moreover solution
 s initialized in bounded sets and corresponding to bounded inputs remain u
 niformly bounded over bounded time-intervals\, then it is said to have the
  bounded reachability sets (BRS) property\, also called robust forward com
 pleteness (RFC). BRS is a bridge between the pure well-posedness theory (t
 hat studies existence and uniqueness) and the stability theory (which is i
 nterested in establishing certain bounds for solutions). For example\, BRS
  is a crucial property to establish ISS superposition theorems. It is know
 n that under standard assumptions\, FC implies BRS for finite-dimensional 
 systems\, while this fails for infinite-dimensional ones.\nIt was recently
  shown by J.L. Mancilla-Aguilar and H. Haimovich that the implication also
  fails in the case of time-delay systems with a finite number of delays. I
 n this talk\, we aim to show that the implication FC => BRS for time-delay
  systems actually heavily depends on the choice of the state space. In par
 ticular\, we propose to consider the state space of essentially bounded fu
 nctions (instead of the usual one of continuous functions). On this new st
 ate space\, we prove that FC implies BRS\, which raises the question of re
 visiting stability theory of time-delay systems in this state space.\n\n<b
 >Biography.</b> Lucas Brivadis is a CNRS researcher at the Laboratory of S
 ignals and Systems (L2S\, CentraleSupélec\, CNRS\, Université Paris-Sacl
 ay). He defended his PhD in 2021 at LAGEPP\, Université Lyon 1. From 2021
  to 2022\, he was a postdoctoral researcher at L2S. His research interests
  include stability properties of nonlinear delay systems\, observer design
  for nonlinear or infinite dimensional systems\, and output feedback stabi
 lization.\n
LOCATION:https://researchseminars.org/talk/ISS-Theory/40/
END:VEVENT
END:VCALENDAR