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

1email and 2,* email
Received: 25 February 2013; in revised form: 4 April 2013 / Accepted: 8 April 2013 / Published: 15 April 2013
(This article belongs to the Special Issue Dynamical Systems)
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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
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.

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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.

AMA Style

Zhao M, Wang J. Outer Synchronization between Fractional-Order Complex Networks: A Non-Fragile Observer-based Control Scheme. Entropy. 2013; 15(4):1357-1374.

Chicago/Turabian Style

Zhao, Meichun; Wang, Junwei. 2013. "Outer Synchronization between Fractional-Order Complex Networks: A Non-Fragile Observer-based Control Scheme." Entropy 15, no. 4: 1357-1374.


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