Energy-balanced models for acoustic and audio systems: a port-Hamiltonian approach

Antoine Falaize 1, 2 Nicolas Lopes 1, 2 Thomas Hélie 1, 2 Denis Matignon 1, 2 Bernhard Maschke 1, 2
1 Analyse et synthèse sonores [Paris]
STMS - Sciences et Technologies de la Musique et du Son
2 Equipe Acoustique instrumentale
STMS - Sciences et Technologies de la Musique et du Son
Abstract : Port-Hamiltonian systems (PHS) are an extension of Hamiltonian systems, which represent open passive systems which are structured according to their conservative and dissipa- tive parts, as well as the external sources. They are widely used in engineering as a central tool for the modelling of physical systems, their passive-guaranteed simulation, as well as for control issues. In this paper, we shall recall the definition of the port-Hamiltonian systems and give some indication on how they might be used for the modelling and simulation of electro-acoustic systems, which are illustrated on some applications.
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Antoine Falaize, Nicolas Lopes, Thomas Hélie, Denis Matignon, Bernhard Maschke. Energy-balanced models for acoustic and audio systems: a port-Hamiltonian approach. Unfold Mechanics for Sounds and Music, Sep 2014, Paris, France. pp.1-1, 2014. 〈hal-01156711〉

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