Cooperative Control of Multi-Agent Systems

1

Introduction and Mathematical Background

CONTENTS

1.1    Introduction to Cooperative Control of Multi-Agent Systems

1.1.1    Consensus

1.1.2    Formation Control

1.1.3    Flocking

1.2    Overview of This Monograph

1.3    Mathematical Preliminaries

1.3.1    Notations and Definitions

1.3.2    Basic Algebraic Graph Theory

1.3.3    Stability Theory and Technical Tools

1.4    Notes

1.1    Introduction to Cooperative Control of Multi-Agent Systems

The subject of this monograph is cooperative control of multi-agent systems, where an agent denotes a dynamical system which can be a ground/underwater vehicle, an aircraft, a satellite, a smart sensor with microprocessors, and so forth. In some literature, multi-agent systems are also called multi-vehicle ...