论文标题
分布式系统的规范控制器
The Canonical Controller for Distributed Systems
论文作者
论文摘要
本文将Willems-Trentelman和Van der Schaft的结果概括为可实现的行为，这是由部分差分或差异方程定义的线性分布式系统的情况。它表明，实现特定子系统的“最小”控制器是范德·舒夫特（Van der Schaft）的规范控制器，从而在无限尺寸和$ n-d $系统的设置中回答了\ cite {sc}的“打开问题”。该结果用于描述包含真空溶液的电磁场的所有线性子系统的收集，可以通过适当的电荷和电流密度选择来实现。
This paper generalises results of Willems-Trentelman, and van der Schaft, on achievable behaviours, to the case of linear distributed systems defined by partial differential or difference equations. It shows that the `minimal' controller which achieves a particular subsystem is the canonical controller of van der Schaft, thereby answering the `open problem' of \cite{sc} in the setting of infinite dimensional and $n-D$ systems. This result is used to describe the collection of all linear subsystems of the electro-magnetic field, containing the vacuum solutions, that can be achieved by suitable choices of electric charge and current density.
