English

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

Optimization and Control 2024-12-25 v3 Classical Analysis and ODEs

Abstract

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.

Keywords

Cite

@article{arxiv.2406.08994,
  title  = {Asymptotic Stability and Strict Passivity of Port-Hamiltonian Descriptor Systems via State Feedback},
  author = {Delin Chu and Volker Mehrmann},
  journal= {arXiv preprint arXiv:2406.08994},
  year   = {2024}
}