Compound matrices in systems and control theory
Optimization and Control
2021-03-30 v1
Abstract
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.
Cite
@article{arxiv.2103.15097,
title = {Compound matrices in systems and control theory},
author = {Eyal Bar-Shalom and Michael Margaliot},
journal= {arXiv preprint arXiv:2103.15097},
year = {2021}
}