Elementary tools on Port-Hamiltonian Systems with applications to audio/acoustics
Résumé
This document presents elementary tools on Port-Hamiltonian Systems (PHS) dedicated to the energy-consistent modelling and simulation of linear or nonlinear open physical systems. It focuses on the case of finite-dimensional input-state-output representations of systems constructed as an assembly of multi-physical lumped-components, which limits the prerequisites to differential calculus and matrix algebra. The presentation and exercises are chosen with the aim of providing a toolbox to address audioacoustic problems with real time application perspectives.
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