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Synchronization of Stochastic Complex Dynamical Networks with Mixed Time-Varying Coupling Delays

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Abstract

Synchronization of complex networks with mixed time-varying coupling delays and stochastic perturbation. We constructed a novel Lyapunov functional with triple integral terms. By applying Jensen’s inequality and Lyapunov stability theory stability conditions are derived to check the asymptotical stability of the concerned system. By employing the stochastic evaluation and Kronecker product delay-dependent synchronization criteria of stochastic complex dynamical networks are derived. By using the derived conditions control gain matrix is obtained. Finally, numerical results are presented to demonstrate the effectiveness and usefulness of the proposed results.

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Acknowledgements

This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under Grant No. (RG-31-130-40). The authors, therefore, acknowledge with thanks DSR technical and financial support.

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Authors and Affiliations

  1. Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu, 632115, India

    M. Syed Ali & M. Usha

  2. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah, 21589, Saudi Arabia

    Ahmed Alsaedi & Bashir Ahmad

Authors
  1. M. Syed Ali
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  2. M. Usha
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  3. Ahmed Alsaedi
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  4. Bashir Ahmad
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Correspondence to M. Syed Ali.

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Ali, M.S., Usha, M., Alsaedi, A. et al. Synchronization of Stochastic Complex Dynamical Networks with Mixed Time-Varying Coupling Delays. Neural Process Lett 52, 1233–1250 (2020). https://doi.org/10.1007/s11063-020-10301-z

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