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arXiv · 2303.04563

Input-to-state stability for bilinear feedback systems

René Hosfeld·Birgit Jacob·Felix Schwenninger·Marius Tucsnak
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Abstract

Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obtained results to controlled versions of a viscous Burger equation with Dirichlet boundary conditions, a Schr\"odinger equation, a Navier--Stokes system and a semilinear wave equation.

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René Hosfeld, Birgit Jacob, Felix Schwenninger, Marius Tucsnak. 2023-03-08. Input-to-state stability for bilinear feedback systems. https://arxiv.org/abs/2303.04563

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