论文标题
迈向与时间延迟的港口哈米尔顿港系统的建模班
Towards a modeling class for port-Hamiltonian systems with time-delay
论文作者
论文摘要
哈米尔顿港（PH）系统的框架是一个强大而广泛的建模范式。在本文中，我们将pH系统的范围扩展到时间延迟系统。我们对延迟pH系统的定义是通过研究相应的无限维操作员方程的Kalman-Yakubovich-Popov不平等的动机。此外，我们表明延迟pH系统是被动的，并在互连下关闭。我们描述了一种构建Lyapunov-Krasovskii功能的明确方法，并讨论对延迟反馈的影响。
The framework of port-Hamiltonian (pH) systems is a powerful and broadly applicable modeling paradigm. In this paper, 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.
