Control and Synchronization of the Fractional-Order Lorenz Chaotic System via Fractional-Order Derivative-Reference-Cited by-同舟云学术

Control and Synchronization of the Fractional-Order Lorenz Chaotic System via Fractional-Order Derivative

Published:2012 Issue: Volume:2012 Page:1-14
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Zhou Ping¹²,Ding Rui¹²

Affiliation:

1. Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

2. Key Laboratory of Industrial Internet of Things & Networked Control, Chongqing University of Posts and Telecommunications, Ministry of Education, Chongqing 400065, China

Abstract

The unstable equilibrium points of the fractional-order Lorenz chaotic system can be controlled via fractional-order derivative, and chaos synchronization for the fractional-order Lorenz chaotic system can be achieved via fractional-order derivative. The control and synchronization technique, based on stability theory of fractional-order systems, is simple and theoretically rigorous. The numerical simulations demonstrate the validity and feasibility of the proposed method.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2012/214169.pdf

Reference17 articles.

1. Chaos in Chen's system with a fractional order

2. Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control

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