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

Author

Listed:
  • Hongjie Li

    (Jiaxing University)

  • W. K. Wong

    (Hong Kong Polytechnic University)

  • Yang Tang

    (Donghua University
    Potsdam Institute for Climate Impact Research)

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.

Suggested Citation

  • Hongjie Li & W. K. Wong & Yang Tang, 2012. "Global Synchronization Stability for Stochastic Complex Dynamical Networks with Probabilistic Interval Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 152(2), pages 496-516, February.
    • Handle: RePEc:spr:joptap:v:152:y:2012:i:2:d:10.1007_s10957-011-9917-0
    DOI: 10.1007/s10957-011-9917-0
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    References listed on IDEAS

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    1. Liu, Xiwei & Chen, Tianping, 2007. "Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 82-92.
    2. Li, Zhi & Jiao, Licheng & Lee, Ju-Jang, 2008. "Robust adaptive global synchronization of complex dynamical networks by adjusting time-varying coupling strength," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1369-1380.
    3. Dangalchev, Chavdar, 2004. "Generation models for scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(3), pages 659-671.
    4. Li, C.P. & Sun, W.G. & Kurths, J., 2006. "Synchronization of complex dynamical networks with time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 24-34.
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    Cited by:

    1. Kuzmin, Evgeny, 2013. "Logic of Interval Uncertainty," MPRA Paper 58165, University Library of Munich, Germany.

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