# The singular set and aspects of global control dynamics

## TL;DR

This paper investigates the singular set in control systems, exploring its properties and significance in the global design of control dynamics using geometric methods.

## Contribution

It introduces the concept of the singular set and analyzes its properties and role in the global control design framework.

## Key findings

- Defined the singular set in control systems
- Analyzed properties of the singular set
- Discussed its role in control dynamics design

## Abstract

The global approach to control systems which we have been pursuing in other work favours the study of dynamics achievable through control. It employs certain globally defined geometric objects and attempts to describe them in the general case. In this work, we define the singular set and examine some of its general properties. We then briefly examine its role in the global design of control dynamics.