Compound matrices in systems and control theory: a tutorial

Autor:	Bar-Shalom, Eyal, Dalin, Omri, Margaliot, Michael
Rok vydání:	2022
Předmět:	Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	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. Comment: arXiv admin note: text overlap with arXiv:2103.15097
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.00676 Zobrazit plný text záznamu View this record from Arxiv