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

• 成果类型: Article
• 署名作者: Kurula, Mikael
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3355852
• 发表日期: 2024
• 页码: 4813-4819
• 关键词: Time-varying systems; SCATTERING; Perturbation methods; Jacobian matrices; impedance; control systems; Maxwell equations; Evolution family; Hilbert space; Linear systems; port-Hamiltonian systems; Time-varying systems

摘要

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.