Two energy methods for distributed port-Hamiltonian systems and their application to stability analysis
Year: 2025
Type: preprint
Abstract: We develop two local energy methods for distributed parameter port-Hamiltonian (pH) systems on one-dimensional spatial domains. The methods are applied to derive a characterization of exponential stability directly in terms of the energy passing through the boundary over a given time horizon. The resulting condition is verified for a network of vibrating strings where existing sufficient conditions cannot be applied. Moreover, we use a local energy method to study the short-time behavior of pH systems with boundary damping which was recently studied in the context of hypocoercivity.
Source: arXiv (Cornell University)
Authors: Roschkowski, Marco, Gernandt, Hannes
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7108242364
Cites:
Cited by:
Related to: