Flocking for Multi-Agent Dynamical Systems

Zhaoxin Wan

ISBN 10: 3659259578 / ISBN 13: 9783659259579

Published by LAP LAMBERT Academic Publishing, 2012

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - In this book, we discuss models for multi-agent dynamical systems. We study the tracking/migration problem for flocks and a theoretical framework for design and analysis of flocking algorithm is presented. The interactions between agents in the systems are denoted by potential functions that act as distance functions, hence, the design of proper potential functions is crucial in modelling and analyzing the flocking problem for multi-agent dynamical systems. Constructions for both non-smooth potential functions and smooth potential functions with finite cut-off are investigated in detail. The main contributions of this book are to extend the literature of continuous flocking models with impulsive control and delay. Lyapunov function techniques and techniques for stability of continuous and impulsive switching system are used. We study the asymptotic stability of the equilibrium of our models with impulsive controls and discover that by applying impulsive controls to Olfati-Saber's continuous model, we can remove the damping term and improve the performance by avoiding the deficiency caused by time delay in velocity sensing.

Seller Inventory # 9783659259579

Bibliographic Details

• Title: Flocking for Multi-Agent Dynamical Systems
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2012
• Language: English
• ISBN 10: 3659259578
• ISBN 13: 9783659259579
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 7D millimeters 220 millimeters width by 150 millimeters height by 7 millimeters depth
• Weight: 191 grams

About this title

Synopsis

In this book, we discuss models for multi-agent dynamical systems. We study the tracking/migration problem for flocks and a theoretical framework for design and analysis of flocking algorithm is presented. The interactions between agents in the systems are denoted by potential functions that act as distance functions, hence, the design of proper potential functions is crucial in modelling and analyzing the flocking problem for multi-agent dynamical systems. Constructions for both non-smooth potential functions and smooth potential functions with finite cut-off are investigated in detail. The main contributions of this book are to extend the literature of continuous flocking models with impulsive control and delay. Lyapunov function techniques and techniques for stability of continuous and impulsive switching system are used. We study the asymptotic stability of the equilibrium of our models with impulsive controls and discover that by applying impulsive controls to Olfati-Saber's continuous model, we can remove the damping term and improve the performance by avoiding the deficiency caused by time delay in velocity sensing.

About the Author

MMath Graduate, Applied Mathematics, University of Waterloo