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2013 | OriginalPaper | Chapter

Adaptive Control and Synchronization Design for the Lu-Xiao Chaotic System

Author : Vaidyanathan Sundarapandian

Published in: Computer Networks & Communications (NetCom)

Publisher: Springer New York

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Abstract

This paper derives new results on the adaptive control and synchronization design for the Lu-Xiao chaotic system (2012) with unknown parameters. First, adaptive control is designed to stabilize the Lu-Xiao chaotic system to its unstable equilibrium at the origin. Then adaptive synchronization is designed to achieve global chaos synchronization of identical Lu-Xiao chaotic systems with unknown parameters. The adaptive control and synchronization results derived in this paper have been established using Lyapunov stability theory. Numerical simulations are given to validate and depict the effectiveness of the adaptive control and synchronization laws derived in this paper for the Lu-Xiao chaotic system.

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Metadata
Title
Adaptive Control and Synchronization Design for the Lu-Xiao Chaotic System
Author
Vaidyanathan Sundarapandian
Copyright Year
2013
Publisher
Springer New York
Book
Computer Networks & Communications (NetCom)

Print ISBN: 978-1-4614-6153-1

Electronic ISBN: 978-1-4614-6154-8

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-1-4614-6154-8_32