Abstract

The port-Hamiltonian (pH) theory for distributed parameter systems has developed greatly in the past two decades. The theory has been successfully extended from finite-dimensional to infinite-dimensional systems through a lot of research efforts. This article collects the different research studies carried out for distributed pH systems. We classify over a hundred and fifty studies based on different research focuses ranging from modeling, discretization, control and theoretical foundations. This literature review highlights the wide applicability of the pH systems theory to complex systems with multi-physical domains using the same tools and language. We also supplement this article with a bibliographical database including all papers reviewed in this paper classified in their respective groups.

中文翻译：

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分布式哈密尔顿系统二十年：文献综述

摘要

在过去的二十年中，用于分布式参数系统的Port-Hamiltonian（pH）理论得到了极大的发展。通过大量的研究工作，该理论已成功地从有限维系统扩展到了无限维系统。本文收集了针对分布式pH系统进行的不同研究。我们根据建模，离散化，控制和理论基础等不同研究重点对150多个研究进行了分类。这篇文献综述强调了pH系统理论在使用相同工具和语言的多物理域复杂系统中的广泛应用。我们还通过书目数据库对本文进行补充，其中包括本文中所有归类于其各自类别的所有论文。