Next Article in Journal
An Integrated Index for the Identification of Focal Electroencephalogram Signals Using Discrete Wavelet Transform and Entropy Measures
Next Article in Special Issue
Adaptive Fuzzy Control for Nonlinear Fractional-Order Uncertain Systems with Unknown Uncertainties and External Disturbance
Previous Article in Journal
Information-Theoretic Characterization and Undersampling Ratio Determination for Compressive Radar Imaging in a Simulated Environment
Previous Article in Special Issue
Analytic Exact Upper Bound for the Lyapunov Dimension of the Shimizu–Morioka System
Article Menu

Export Article

Open AccessArticle
Entropy 2015, 17(8), 5199-5217; doi:10.3390/e17085199

Generalized Combination Complex Synchronization for Fractional-Order Chaotic Complex Systems

College of Control Science and Engineering, Shandong University, Jinan 250061, China
*
Author to whom correspondence should be addressed.
Academic Editors: Guanrong Chen, C.K. Michael Tse, Mustak E. Yalcin, Hai Yu and Mattia Frasca
Received: 10 March 2015 / Revised: 29 June 2015 / Accepted: 17 July 2015 / Published: 24 July 2015
(This article belongs to the Special Issue Recent Advances in Chaos Theory and Complex Networks)
View Full-Text   |   Download PDF [993 KB, uploaded 24 July 2015]   |  

Abstract

Based on two fractional-order chaotic complex drive systems and one fractional-order chaotic complex response system with different dimensions, we propose generalized combination complex synchronization. In this new synchronization scheme, there are two complex scaling matrices that are non-square matrices. On the basis of the stability theory of fractional-order linear systems, we design a general controller via active control. Additionally, by virtue of two complex scaling matrices, generalized combination complex synchronization between fractional-order chaotic complex systems and real systems is investigated. Finally, three typical examples are given to demonstrate the effectiveness and feasibility of the schemes. View Full-Text
Keywords: chaotic complex systems; fractional-order systems; different dimensions; generalized combination complex synchronization chaotic complex systems; fractional-order systems; different dimensions; generalized combination complex synchronization
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Jiang, C.; Liu, S.; Wang, D. Generalized Combination Complex Synchronization for Fractional-Order Chaotic Complex Systems. Entropy 2015, 17, 5199-5217.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top