Appears in collection : Energy-Based Modeling, Simulation, and Control of Complex Constrained Multiphysical Systems / Modélisation structurée, intégration géométrique et commande de systèmes multiphysiques contraints

The multiplier approach is applied to a class of port-Hamiltonian systems with boundary dissipation to establish exponential decay. The exponential stability of port-Hamiltonian systems has been studied and sufficient conditions obtained. Here the decay rate $Me^{-\alpha t}$ is established with $M$ and $\alpha$ are in terms of system parameters. This approach is illustrated by several examples, in particular, boundary stabilization of a piezoelectric beam with magnetic effects.