On contraction of time-varying port-Hamiltonian systems

Authors

Nikita Barabanov, Romeo Ortega, Anton Pyrkin

Abstract

In this paper we identify classes of port-Hamiltonian systems which are contracting. Our motivation in this study is two-fold, on one hand, it is well-known that many physical systems are described by port-Hamiltonian models. On the other hand, contraction is a fundamental property that has been efficiently exploited for the design of observers, as well as tracking, adaptive and multi-agent controllers for nonlinear systems. The conditions for contraction are given in terms of feasibility of linear matrix inequalities, hence their verification is computationally efficient.

Keywords

contraction theory, nonlinear systems, port-hamiltonian systems

Citation

Journal: Systems & Control Letters
Year: 2019
Volume: 133
Issue:
Pages: 104545
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2019.104545

BibTeX

@article{Barabanov_2019,
  title={{On contraction of time-varying port-Hamiltonian systems}},
  volume={133},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2019.104545},
  journal={Systems \&amp; Control Letters},
  publisher={Elsevier BV},
  author={Barabanov, Nikita and Ortega, Romeo and Pyrkin, Anton},
  year={2019},
  pages={104545}
}

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