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math.DS2023★ 1 cited
Integral representation formula for linear non-autonomous difference-delay equations
Laurent Baratchart, Sébastien Fueyo, Jean-Baptiste Pomet
This note states and proves an integral representation formula of the ``variation-of-constant'' type for continuous solutions of linear non-autonomous difference delay systems, in…
math.DS2019★ 12 cited
Sufficient Stability Conditions for Time-varying Networks of Telegrapher's Equations or Difference Delay Equations
Laurent Baratchart, Sébastien Fueyo, Gilles Lebeau +1
We give a sufficient condition for exponential stability of a network of lossless telegrapher's equations, coupled by linear time-varying boundary conditions. The sufficient condit…