系统中的复合矩阵与控制理论
Compound matrices in systems and control theory
摘要：
矩阵的乘性和加性复合在包括几何、多线性代数、组合学和非线性时变动力系统分析在内的若干数学领域中起着重要作用。这些化合物及其推广在系统和控制理论中的应用越来越受到人们的关注。本教程提供了一个温和的介绍，这些主题的化合物的几何解释的重点，并调查他们最近的一些应用。
英文摘要：
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. This tutorial paper provides a gentle introduction to these topics with an emphasis on the geometric interpretation of the compounds, and surveys some of their recent applications.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
