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SUMMARY:State observers design and analysis for set-valued Lur'e systems
DTSTART;VALUE=DATE-TIME:20190307T153000Z
DTEND;VALUE=DATE-TIME:20190307T163000Z
DTSTAMP;VALUE=DATE-TIME:20190320T231700Z
UID:indico-event-4438@indico.math.cnrs.fr
DESCRIPTION:Speakers: Bernard Brogliato (INRIA Rhône-Alpes)\nThis talk wi
ll focus on the problem of designing asymptotically stable state observers
for a class of differential inclusions\, made of a linear time-invariant
system in negative feedback with a set-valued (possibly time-varying and n
on-monotone) static nonlinearity. These set-valued dynamical systems are a
n extension of the classical Lur'e systems\, widely studied in Automatic C
ontrol since their introduction by Lur'e in 1945. Dissipativity\, maximal
monotonicity\, prox-regularity are crucial properties for the well-posedne
ss and the stability analysis. Systems with absolutely continuous solution
s\, and with solutions of local bounded variation (hence possible state ju
mps)\, will be considered.\nhttps://indico.math.cnrs.fr/event/4438/
LOCATION:Salle René Baire (IMB)
URL:https://indico.math.cnrs.fr/event/4438/
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SUMMARY:Local curvature of noncommutative spaces
DTSTART;VALUE=DATE-TIME:20190321T153000Z
DTEND;VALUE=DATE-TIME:20190321T163000Z
DTSTAMP;VALUE=DATE-TIME:20190320T231700Z
UID:indico-event-4513@indico.math.cnrs.fr
DESCRIPTION:Speakers: Farzad Fathizadeh (Swansea University )\nWe will st
art by a review of classical facts from spectral geometry that are importa
nt for defining local geometric invariants of noncommutative spaces. Follo
wing the Gauss-Bonnet theorem of Connes and Tretkoff for the noncommutativ
e two torus (proved in 2009)\, remarkable attention has been paid in recen
t years to the calculation and study of geometric invariants appearing in
the heat kernel expansions of Laplacians on noncommutative spaces. After p
roviding an overview of these developments\, main aspects of my joint work
with Alain Connes will be presented\, in which the noncommutave analog of
the term with explicit information about the Riemann tensor is calculated
and studied in detail.\nhttps://indico.math.cnrs.fr/event/4513/
LOCATION:Salle René Baire (IMB)
URL:https://indico.math.cnrs.fr/event/4513/
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