A Robust Control Method for Q-S Synchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems

A robust control approach is presented to study the problem of Q-S synchronization between Integer-order and fractional-order chaotic systems with different dimensions. Based on Laplace transformation and stability theory of linear integer-order dynamical systems, a new control law is proposed to gu...

Full description

Saved in:
Bibliographic Details
Main Authors: Adel Ouannas, Raghib Abu-Saris
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2015/703753
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A robust control approach is presented to study the problem of Q-S synchronization between Integer-order and fractional-order chaotic systems with different dimensions. Based on Laplace transformation and stability theory of linear integer-order dynamical systems, a new control law is proposed to guarantee the Q-S synchronization between n-dimensional integer-order master system and m-dimensional fractional-order slave system. This paper provides further contribution to the topic of Q-S chaos synchronization between integer-order and fractional-order systems and introduces a general control scheme that can be applied to wide classes of chaotic and hyperchaotic systems. Illustrative example and numerical simulations are used to show the effectiveness of the proposed method.
ISSN:1687-5249
1687-5257