Alexander Kilian , Bernhard Maschke , Andrii Mironchenko , Fabian Wirth
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引用次数: 0
Abstract
We consider two systems of two conservation laws that are defined on complementary, one-dimensional spatial intervals and coupled by an interface as a single port-Hamiltonian system. In case of a fixed interface position, we characterize the boundary and interface conditions for which the associated port-Hamiltonian operator generates a contraction semigroup. Furthermore, we present sufficient conditions for the exponential stability of the generated -semigroup. The results are illustrated by the example of two acoustic waveguides coupled by a membrane interface.
期刊介绍:
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