论文标题
彩色结构化系统的强结构可控性
Strong Structural Controllability of Colored Structured Systems
论文作者
论文摘要
本文介绍了线性结构化系统的强结构可控性，其中系统矩阵由零/非零/任意模式矩阵给出。本文没有假设系统矩阵的非零和任意条目可以完全独立地采用其值，而是对这些条目的相等约束，从某种意义上说，{\ em a a Priori}在系统矩阵中给定的条目被限制为任意但相同的值。为了正式化这类结构化系统类别，我们介绍了彩色图案矩阵和有色结构化系统的概念。本文的主要贡献是，它概括了结构化系统的强结构可控性的经典结果以及最新的结果对彩色图上定义的系统的可控性。在本文中，我们将同时建立代数和图理论条件，以实现这种更一般的结构化系统的强结构可控性。
This paper deals with strong structural controllability of linear structured systems in which the system matrices are given by zero/nonzero/arbitrary pattern matrices. Instead of assuming that the nonzero and arbitrary entries of the system matrices can take their values completely independently, this paper allows equality constraints on these entries, in the sense that {\em a priori} given entries in the system matrices are restricted to take arbitrary but identical values. To formalize this general class of structured systems, we introduce the concepts of colored pattern matrices and colored structured systems. The main contribution of this paper is that it generalizes both the classical results on strong structural controllability of structured systems as well as recent results on controllability of systems defined on colored graphs. In this paper, we will establish both algebraic and graph-theoretic conditions for strong structural controllability of this more general class of structured systems.
