Next Article in Journal
Classification of Knee Joint Vibration Signals Using Bivariate Feature Distribution Estimation and Maximal Posterior Probability Decision Criterion
Next Article in Special Issue
Genetic Algorithm-Based Identification of Fractional-Order Systems
Previous Article in Journal
Symmetry Properties of Bi-Normal and Bi-Gamma Receiver Operating Characteristic Curves are Described by Kullback-Leibler Divergences
Entropy 2013, 15(4), 1357-1374; doi:10.3390/e15041357
Article

Outer Synchronization between Fractional-Order Complex Networks: A Non-Fragile Observer-based Control Scheme

1
 and
2,*
Received: 25 February 2013 / Revised: 4 April 2013 / Accepted: 8 April 2013 / Published: 15 April 2013
(This article belongs to the Special Issue Dynamical Systems)
Download PDF [625 KB, uploaded 24 February 2015]

Abstract

This paper addresses the global outer synchronization problem between two fractional-order complex networks coupled in a drive-response configuration. In particular, for a given fractional-order complex network composed of Lur’e systems, an observer-type response network with non-fragile output feedback controllers is constructed. Both additive and multiplicative uncertainties that perturb the control gain matrices are considered. Then, using the stability theory of fractional-order systems and eigenvalue distribution of the Kronecker sum of matrices, we establish some sufficient conditions for global outer synchronization. Interestingly, the developed results are cast in the format of linear matrix inequalities (LMIs), which can be efficiently solved via the MATLAB LMI Control Toolbox. Finally, numerical simulations on fractional-order networks with nearest-neighbor and small-world topologies are given to support the theoretical analysis.
Keywords: outer synchronization; fractional-order derivative; complex network; observer control; LMI outer synchronization; fractional-order derivative; complex network; observer control; LMI
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.

Share & Cite This Article

Further Mendeley | CiteULike
Export to BibTeX |
EndNote
MDPI and ACS Style

Zhao, M.; Wang, J. Outer Synchronization between Fractional-Order Complex Networks: A Non-Fragile Observer-based Control Scheme. Entropy 2013, 15, 1357-1374.

View more citation formats

Related Articles

Article Metrics

For more information on the journal, click here

Comments

Cited By

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