{"ID":2835599,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.23336","arxiv_id":"2511.23336","title":"Two energy methods for distributed port-Hamiltonian systems and their application to stability analysis","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.","short_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...","url_abs":"https://arxiv.org/abs/2511.23336","url_pdf":"https://arxiv.org/pdf/2511.23336v1","authors":"[\"Marco Roschkowski\",\"Hannes Gernandt\"]","published":"2025-11-28T16:44:28Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"math.AP\",\"math.FA\"]","methods":"[]","has_code":false}