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The Scientific World Journal
Volume 2014, Article ID 560234, 11 pages
Research Article

Robust Filtering for a Class of Complex Networks with Stochastic Packet Dropouts and Time Delays

1School of Automation, Nanjing University of Science & Technology, Nanjing 210094, China
2Information Overall Department, North Information Control Group Co., Ltd., Nanjing 211153, China
3Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway

Received 27 December 2013; Accepted 6 March 2014; Published 27 March 2014

Academic Editors: J. Bajo and Z. Wu

Copyright © 2014 Jie Zhang 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.


The robust filtering problem is investigated for a class of complex network systems which has stochastic packet dropouts and time delays, combined with disturbance inputs. The packet dropout phenomenon occurs in a random way and the occurrence probability for each measurement output node is governed by an individual random variable. Besides, the time delay phenomenon is assumed to occur in a nonlinear vector-valued function. We aim to design a filter such that the estimation error converges to zero exponentially in the mean square, while the disturbance rejection attenuation is constrained to a given level by means of the performance index. By constructing the proper Lyapunov-Krasovskii functional, we acquire sufficient conditions to guarantee the stability of the state detection observer for the discrete systems, and the observer gain is also derived by solving linear matrix inequalities. Finally, an illustrative example is provided to show the usefulness and effectiveness of the proposed design method.