کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
707709 | 1460994 | 2013 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Coupling between hyperbolic and diffusive systems: A port-Hamiltonian formulation Coupling between hyperbolic and diffusive systems: A port-Hamiltonian formulation](/preview/png/707709.png)
The aim of this paper is to study a conservative wave equation coupled to a diffusion equation. This coupled system naturally arises in musical acoustics when viscous and thermal effects at the wall of the duct of a wind instrument are taken into account. The resulting equation, known as the Webster–Lokshin model, has variable coefficients in space, and a fractional derivative in time. This equation can be recast into the port Hamiltonian framework by using the diffusive representation of the fractional derivative in time and a multiscale state space representation. The port-Hamiltonian formalism proves adequate to reformulate this coupled system, and could enable another well-posedness analysis, using classical results from port-Hamiltonian systems theory.
Journal: European Journal of Control - Volume 19, Issue 6, December 2013, Pages 505–512