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UID:6494@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210322T110000
DTEND;TZID=Europe/Paris:20210322T110000
DTSTAMP:20241120T201722Z
URL:https://www.i2m.univ-amu.fr/evenements/stability-of-periodic-delay-sys
 tems-and-harmonic-transfer-function/
SUMMARY:Laurent Baratchart (INRIA\, Sophia Antipolis ): Stability of period
 ic delay systems and harmonic transfer function
DESCRIPTION:Laurent Baratchart: The Henry-Hale theorem says that a delay sy
 stem with constant coefficients of the form y(t) = ∑ j=1Najy(t - τj) is
  exponentially stable if and only if (I -∑ j=1Ne-zτj)-1 is analytic in 
 |z| &gt\; -ε for some ε &gt\; 0. We discuss an analog of this result whe
 n the aj are periodic with Hölder-continuous derivative\, saying that in 
 this case exponential stability is equivalent to the analyticity of the so
  called harmonic transfer function for |z| &gt\; -ε\, as a function value
 d in operators on L2(T) with T the unit circle. This is joint work with S.
  Fueyo and J.B. Pomet. \n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/03/Laurent_Baratchart.jpg
CATEGORIES:Séminaire,Analyse et Géométrie,Virtual event
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