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UID:20260619T200504EDT-3518NVWGOc@132.216.98.100
DTSTAMP:20260620T000504Z
DESCRIPTION:\n	Webinar Link\n\n	Meeting ID: 910 7928 6959        Passcode: VI
 SS\n\n	Virtual Informal Systems Seminar (VISS) Centre for Intelligent Machi
 nes (CIM) and Groupe d'Etudes et de Recherche en Analyse des Decisions (GE
 RAD)\n		Speaker: Kevin Church\, Postdoctoral Fellow\, Department of Mathemat
 ics and Statistics\, ɬÀï·¬\n\n	Abstract:\n		The analysis and cont
 rol of infinite-dimensional dynamical systems has many complications that 
 are not present for finite-dimensional problems. There has been substantia
 l interest in recent years in stabilizing equilibria in delay equations us
 ing impulses: short-scale bursts that alter the system state very abruptly
  and are modeled as occurring in zero time. Nearly all published sufficien
 t conditions for stabilization using impulses are stated in terms of linea
 r matrix inequalities and are derived using Lyapunov functionals. I will r
 efer to the problem of stabilizing a delay equation using impulses as the 
 impulsive stabilization problem.\n		\n		In this talk I will present an alterna
 tive approach to the impulsive stabilization problem that avoids the use o
 f Lyapunov functionals. The key ingredients are Floquet theory and invaria
 nt manifold theory. The former provides a faithful description of dynamics
  of periodic linear systems\, while the latter can be used to quantify how
  perturbations to a system alter its behaviour near an equilibrium. The ta
 lk will be divided into a few parts. First I will give a brief introductio
 n to some basics of delay differential equations. I will then overview the
  impulsive stabilization problem before developing the theoretical tools n
 eeded to explain how my new stabilization methodology works. I will conclu
 de with some examples.\n		\n		Bio: Kevin Church received his M.Sc. in Mathemat
 ics from the University of Ottawa in 2014. He then completed a Ph.D. in Ap
 plied Mathematics in 2019 under the supervision of Xinzhi Liu and Jun Liu 
 at the University of Waterloo. His dissertation was on invariant manifold 
 theory for impulsive functional differential equations\, with applications
  to mathematical biology and control. He is currently a NSERC Postdoctoral
  Fellow at ɬÀï·¬\, working in the group of Jean-Philippe Lessa
 rd on computer-assisted proofs in dynamical systems.\n\n
DTSTART:20201127T160000Z
DTEND:20201127T170000Z
LOCATION:CA\, ZOOM
SUMMARY:Floquet Theory\, Invariant Manifolds and Control with Impulsive Del
 ay Differential Equations
URL:/cim/channels/event/floquet-theory-invariant-manif
 olds-and-control-impulsive-delay-differential-equations-326393
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