Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive Control

This paper investigates hybrid synchronization of the uncertain generalized Lorenz system. Several useful criteria are given for synchronization of two generalized Lorenz systems, and the adaptive control law and the parameter update law are used. In comparison with those of existing synchronization...

Full description

Saved in:
Bibliographic Details
Main Authors: Xinlian Zhou, Yuhua Xu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2018/5603639
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper investigates hybrid synchronization of the uncertain generalized Lorenz system. Several useful criteria are given for synchronization of two generalized Lorenz systems, and the adaptive control law and the parameter update law are used. In comparison with those of existing synchronization methods, hybrid synchronization includes full-order synchronization, reduced-order synchronization, and modified projective synchronization. What is more, control of the stability point, complete synchronization, and antisynchronization can coexist in the same system. Numerical simulations show the effectiveness of this method in a class of chaotic systems.
ISSN:1687-5249
1687-5257