Infinite-dimensional port-Hamiltonian systems with a stationary interface

Autor:	Kilian, Alexander, Maschke, Bernhard, Mironchenko, Andrii, Wirth, Fabian
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	We consider two systems of two conservation laws that are defined on complementary 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 $C_0$-semigroup. The results are illustrated by the example of two acoustic waveguides coupled by an interface consisting of some membrane. Comment: arXiv admin note: text overlap with arXiv:2301.07344
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.08967 Zobrazit plný text záznamu View this record from Arxiv