Solvability of Time-Varying Infinite-Dimensional Linear Port-Hamiltonian Systems

Mikael Kurula*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

Thirty years after the introduction of port-Hamiltonian systems, interest in this system class still remains high among systems and control researchers. Very recently, Jacob and Laasri obtained strong results on the solvability and well-posedness of time-varying linear port-Hamiltonian systems with boundary control and boundary observation. In this article, we complement their results by discussing the solvability of linear, infinite-dimensional time-varying port-Hamiltonian systems not necessarily of boundary control type. The theory is illustrated on a system with a delay component in the state dynamics.

Original languageEnglish
Pages (from-to)4813-4819
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume69
Issue number7
DOIs
Publication statusPublished - Jul 2024
MoE publication typeA1 Journal article-refereed

Keywords

  • Evolution family
  • hilbert space
  • linear systems
  • port-Hamiltonian systems
  • time-varying systems

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