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Global Synchronization Stability for Stochastic Complex Dynamical Networks with Probabilistic Interval Time-Varying Delays

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Abstract

The synchronization problem for a class of complex dynamical networks with stochastic disturbances and probabilistic interval time-varying delays is investigated. Based on the stochastic analysis techniques and properties of the Kronecker product, some delay-dependent asymptotical synchronization stability criteria are derived in the form of linear matrix inequalities (LMIs). The solvability of derived conditions depends not only on the size of the delay, but also on the probability of Bernoulli stochastic variables. A numerical example is given to illustrate the feasibility and effectiveness of the proposed method.

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Authors and Affiliations

  1. The College of Mathematics and Information and Engineering, Jiaxing University, Zhejing, P.R. China

    Hongjie Li

  2. The Institute of Textile and Clothing, Hong Kong Polytechnic University, Hong Kong, P.R. China

    W. K. Wong

  3. The College of Information Science and Technology, Donghua University, Shanghai, P.R. China

    Yang Tang

  4. Potsdam Institute for Climate Impact Research, Potsdam, Germany

    Yang Tang

Authors
  1. Hongjie Li
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  2. W. K. Wong
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  3. Yang Tang
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Corresponding author

Correspondence to W. K. Wong.

Additional information

Communicated by Felix L. Chernousko.

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Li, H., Wong, W.K. & Tang, Y. Global Synchronization Stability for Stochastic Complex Dynamical Networks with Probabilistic Interval Time-Varying Delays. J Optim Theory Appl 152, 496–516 (2012). https://doi.org/10.1007/s10957-011-9917-0

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  • DOI: https://doi.org/10.1007/s10957-011-9917-0

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