论文标题
稀疏线性合奏系统和结构可控性
Sparse Linear Ensemble Systems and Structural Controllability
论文作者
论文摘要
该论文引入并解决了线性时间不变系统连续集合的结构可控性问题。合奏的所有单个线性系统都是稀疏的，由相同的稀疏模式控制。按照惯例，合奏系统的可控性是使用共同控制输入同时引导其中每个单个系统的能力。如果稀疏模式允许可控的线性集成系统，则可以在结构上控制。本文的主要贡献是提供图形条件，足以使稀疏模式在结构上可控。像其他结构性问题一样，结构可控的特性是单调的。我们还提供了最小稀疏模式的完整表征。
The paper introduces and solves a structural controllability problem for continuum ensembles of linear time-invariant systems. All the individual linear systems of an ensemble are sparse, governed by the same sparsity pattern. Controllability of an ensemble system is, by convention, the capability of using a common control input to simultaneously steer every individual systems in it. A sparsity pattern is structurally controllable if it admits a controllable linear ensemble system. A main contribution of the paper is to provide a graphical condition that is necessary and sufficient for a sparsity pattern to be structurally controllable. Like other structural problems, the property of being structural controllable is monotone. We provide a complete characterization of minimal sparsity patterns as well.
