# Dynamic Equivalence of Control Systems and Infinite Permutation Matrices

## TL;DR

This paper explores the relationship between dynamic equivalences of control systems and associated infinite permutation matrices, providing insights into how these matrices characterize such equivalences.

## Contribution

It establishes a connection between dynamic equivalences of control systems and infinite permutation matrices, advancing understanding of their structural relationship.

## Key findings

- Infinite permutation matrices correspond to dynamic equivalences.
- The paper characterizes when such matrices indicate equivalence.
- Provides a framework linking matrix properties to control system transformations.

## Abstract

To each dynamic equivalence of two control systems is associated an infinite permutation matrix. We investigate how such matrices are related to the existence of dynamic equivalences.