206 research outputs found
Well-posedness and Stability for Interconnection Structures of Port-Hamiltonian Type
We consider networks of infinite-dimensional port-Hamiltonian systems
on one-dimensional spatial domains. These subsystems of
port-Hamiltonian type are interconnected via boundary control and observation
and are allowed to be of distinct port-Hamiltonian orders .
Wellposedness and stability results for port-Hamiltonian systems of fixed order
are thereby generalised to networks of such. The abstract
theory is applied to some particular model examples.Comment: Submitted to: Control Theory of Infinite-Dimensional System. Workshop
on Control Theory of Infinite-Dimensional Systems, Hagen, January 2018.
Operator Theory: Advances and Applications. (32 pages, 5 figures
Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian Systems
We study the non-autonomous version of an infinite-dimensional
port-Hamiltonian system on an interval . Employing abstract results on
evolution families, we show -well-posedness of the corresponding Cauchy
problem, and thereby existence and uniqueness of classical solutions for
sufficiently regular initial data. Further, we demonstrate that a dissipation
condition in the style of the dissipation condition sufficient for uniform
exponential stability in the autonomous case also leads to a uniform
exponential decay of the energy in this non-autonomous setting
Modulare Synthese von Isoindolinonen aus 2-Formyl-arylketonen und Anwendungen in der Wirk- und Naturstoffchemie
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