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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…
Long- and short-time behavior of hypocoercive evolution equations with higher index via modal decompositions
Marco Roschkowski, Hannes Gernandt
Hypocoercivity emerged in kinetic transport theory, allowing to derive exponential long-time estimates for evolution equations. Recently, the short-time asymptotics for equations w…
Extension theory via boundary triplets for infinite-dimensional implicit port-Hamiltonian systems
Hannes Gernandt, Friedrich Philipp, Till Preuster +1
The solution of constrained linear partial-differential equations can be described via parametric representations of linear relations. To study these representations, we provide a…