论文标题
系统和控制理论中的复合矩阵：教程
Compound matrices in systems and control theory: a tutorial
论文作者
论文摘要
矩阵的乘法化合物在数学领域中起着重要作用，包括几何学，多线性代数，组合术和非线性时变动力系统的分析。对这些化合物的应用及其在系统和控制理论中的概括越来越兴趣。本教程论文的目的是为这些主题提供温和且独立的介绍，重点是对化合物的几何解释，并描述其最近的一些应用，包括对正面系统，合作系统，合同系统等的几种非平地概括。
The multiplicative and additive compounds of a matrix play an important role in several fields of mathematics including geometry, multi-linear algebra, combinatorics, and the analysis of nonlinear time-varying dynamical systems. There is a growing interest in applications of these compounds, and their generalizations, in systems and control theory. The goal of this tutorial paper is to provide a gentle and self-contained introduction to these topics with an emphasis on the geometric interpretation of the compounds, and to describe some of their recent applications including several non-trivial generalizations of positive systems, cooperative systems, contracting systems, and more.
