Compound matrices in systems and control theory: a tutorial
Optimization and Control
2022-04-05 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. 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.
Cite
@article{arxiv.2204.00676,
title = {Compound matrices in systems and control theory: a tutorial},
author = {Eyal Bar-Shalom and Omri Dalin and Michael Margaliot},
journal= {arXiv preprint arXiv:2204.00676},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2103.15097