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Mathematical Problems in Engineering
Volume 2015, Article ID 495858, 12 pages
Research Article

Nonfragile Robust Synchronization Approach for Drive-Response Complex Dynamical Networks with Randomly Occurring Controller Gain Fluctuations and Uncertainties

1Control and Simulation Center, Harbin Institute of Technology, Harbin 150001, China
2Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

Received 22 June 2015; Accepted 15 October 2015

Academic Editor: Xinggang Yan

Copyright © 2015 Dabin Li et al. 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.


This paper investigates the nonfragile synchronization problem of complex dynamical networks with randomly occurring controller gain fluctuations and uncertainties. These randomly occurring phenomena are described by independent stochastic variables satisfying Bernoulli distributions, which are adopted to model more realistic dynamical behaviors of the complex networks. By applying the Lyapunov-Krasovskii method, delay-dependent criteria are established to ensure that the synchronization can be achieved with the prescribed disturbance attenuation. Moreover, the obtained results do not rely on the derivatives of time-varying delays. A set of nonfragile controllers are further designed in terms of linear matrix inequality (LMI) approach. Finally, a numerical example is given to illustrate the effectiveness of our theoretical results.