Toward a Class of Port-Hamiltonian Systems With Time-Delays

• 成果类型: Article
• 署名作者: Breiten, Tobias; Hinsen, Dorothea; Unger, Benjamin
• 署名单位: Technical University of Berlin; University of Stuttgart
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3464332
• 发表日期: 2024
• 页码: 8924-8930
• 关键词: Delays; Stability criteria; reviews; Linear systems; indexes; IP networks; HISTORY; Kalman-Yakubovich-Popov inequality; Lyapunov- Krasovskii functional; port-Hamiltonian system; time-delay

摘要

The framework of port-Hamiltonian (pH) systems is a powerful and broadly applicable modeling paradigm. In this article, we extend the scope of pH systems to time-delay systems. Our definition of a delay pH system is motivated by investigating the Kalman-Yakubovich-Popov inequality on the corresponding infinite-dimensional operator equation. Moreover, we show that delay pH systems are passive and closed under interconnection. We describe an explicit way to construct a Lyapunov-Krasovskii functional and discuss implications for delayed feedback.