Asymptotic Stability and Strict Passivity of Port-Hamiltonian Descriptor Systems via State Feedback

Fuente: arXiv
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Hauptverfasser: Chu, Delin, Mehrmann, Volker
Format: Preprint
Veröffentlicht: 2024
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_version_ 1866929645829488640
author Chu, Delin
Mehrmann, Volker
author_facet Chu, Delin
Mehrmann, Volker
contents While port-Hamiltonian descriptor systems are known to be stable and passive, they may not be asymptotically stable or strictly passive. Necessary and sufficient conditions are presented when these properties as well as the regularity and the index one property can be achieved via state feedback while preserving the port-Hamiltonian structure.
format Preprint
id arxiv_https___arxiv_org_abs_2406_08994
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Asymptotic Stability and Strict Passivity of Port-Hamiltonian Descriptor Systems via State Feedback
Chu, Delin
Mehrmann, Volker
Optimization and Control
Classical Analysis and ODEs
93B05, 93B40, 93B52, 65F35
While port-Hamiltonian descriptor systems are known to be stable and passive, they may not be asymptotically stable or strictly passive. Necessary and sufficient conditions are presented when these properties as well as the regularity and the index one property can be achieved via state feedback while preserving the port-Hamiltonian structure.
title Asymptotic Stability and Strict Passivity of Port-Hamiltonian Descriptor Systems via State Feedback
topic Optimization and Control
Classical Analysis and ODEs
93B05, 93B40, 93B52, 65F35
url https://arxiv.org/abs/2406.08994