Damping models for PDEs: a port-Hamiltonian formulation

Abstract

Some methodologies developped by practitioners to model damping phenomena for distributed parameter systems will be listed and revisited. We will try to put them in the framework of port-Hamiltonian systems, either linear or non-linear, either finite or infinite-dimensional. The most significant distinction occurs between static and dynamic damping models: for the latter, a particular attention will be paid to the notion of memory variables, such as those defined in mechanical engineering.