Wuhan University Journal of Natural Sciences

, Volume 18, Issue 6, pp 471–476 | Cite as

Delay-dependent H∞ synchronization for general delayed complex networks with stochastic disturbances

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Abstract

In this paper, the H∞ synchronization is intensively investigated for general delayed complex dynamical networks. The network under consideration contains unknown but bounded nonlinear coupling functions, time-varying delay, external disturbances, and Itô-type stochastic disturbances, which is a zero-mean real scalar Wiener process. Based on the stochastic Lyapunov stability theory, Itô’s differential rule, and linear matrix inequality (LMI) optimization technique, some delay-dependent H∞ synchronization schemes are established, which guarantee robust stochastically mean square asymptotically synchronization for drive network and noise-perturbed response network as well as achieving a prescribed stochastic robust H∞ performance level. Finally, detailed and satisfactory numerical results have validated the feasibility and the correctness of the proposed techniques.

Key words

delay-dependent H∞ synchronization general delayed complex networks with stochastic disturbances linear matrix inequality (LMI) mean-square stability 

CLC number

O 231.5 
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Copyright information

© Wuhan University and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Hubei Province Key Laboratory of Systems Science in Metallurgical ProcessWuhan University of Science and TechnologyWuhanHubei, China

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