Two energy methods for distributed port-Hamiltonian systems and their application to stability analysis
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912736301023232 |
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| author | Roschkowski, Marco Gernandt, Hannes |
| author_facet | Roschkowski, Marco Gernandt, Hannes |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_23336 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two energy methods for distributed port-Hamiltonian systems and their application to stability analysis Roschkowski, Marco Gernandt, Hannes Optimization and Control Analysis of PDEs Functional Analysis 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. |
| title | Two energy methods for distributed port-Hamiltonian systems and their application to stability analysis |
| topic | Optimization and Control Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2511.23336 |