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Mathematical Problems in Engineering
Volume 2014, Article ID 564058, 7 pages
Research Article

Adaptive Asymptotical Synchronization for Stochastic Complex Networks with Time-Delay and Markovian Switching

1Laboratory for Photoelectric Technology and Application, Guizhou University, Guiyang, Guizhou 550025, China
2College of Computer and Information Engineering, Guangxi Teachers Education University, Nanning, Guangxi 530023, China
3College of Electronic and Electrical Engineering, Shanghai University of Engineering Sciences, Shanghai 201620, China
4College of Information Sciences and Technology, Donghua University, Shanghai 201620, China
5School of Computer Science, Engineering and Mathematics, Flinders University, Adelaide, SA 5042, Australia

Received 7 February 2014; Revised 14 May 2014; Accepted 20 May 2014; Published 4 June 2014

Academic Editor: Housheng Su

Copyright © 2014 Xueling Jiang 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 problem of adaptive asymptotical synchronization is discussed for the stochastic complex dynamical networks with time-delay and Markovian switching. By applying the stochastic analysis approach and the M-matrix method for stochastic complex networks, several sufficient conditions to ensure adaptive asymptotical synchronization for stochastic complex networks are derived. Through the adaptive feedback control techniques, some suitable parameters update laws are obtained. Simulation result is provided to substantiate the effectiveness and characteristics of the proposed approach.