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math.AP2026
Well-posedness and passivity for a class of bilinear control systems
Abdelhakim Dahmani, Hannes Gernandt, René Hosfeld +2
We study an abstract class of bilinear infinite-dimensional systems that arises in various applications, including district heating systems and quantum control. First, we analyze t…
math.AP2023
Input-to-state stability for bilinear feedback systems
René Hosfeld, Birgit Jacob, Felix Schwenninger +1
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 obta…