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Synchronization for discrete-time complex networks with probabilistic time delays

Author

Listed:
  • Cheng, Ranran
  • Peng, Mingshu
  • Yu, Jinchen
  • Li, Haifen

Abstract

This paper investigates the problem of adaptive synchronization for discrete-time complex dynamical networks with random delays. In such complex systems, there occurs two kinds of nonidentical probability delays, i.e. self-feedback delays and coupling delays, and these delays are assumed to take values in a given finite sets with probability distributions. By means of the Lyapunov theory, discrete-time Jensen inequality and reciprocal convex combination approach, several delay-probability-distribution-dependent conditions are derived in the linear matrix inequality (LMI) format such that the discrete-time complex dynamical networks with random delays are globally synchronization in mean square. In addition, we use Watts–Strogatz (WS) random complex networks and regular Rulkov networks as two numerical examples to illustrate the effectiveness of our theoretical analysis.

Suggested Citation

  • Cheng, Ranran & Peng, Mingshu & Yu, Jinchen & Li, Haifen, 2019. "Synchronization for discrete-time complex networks with probabilistic time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1088-1101.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:1088-1101
    DOI: 10.1016/j.physa.2019.04.012
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    References listed on IDEAS

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    1. Wu, Zhaoyan, 2015. "Synchronization of discrete dynamical networks with non-delayed and delayed coupling," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 57-62.
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    Cited by:

    1. Lin, Hai & Wang, Jingcheng, 2022. "Pinning synchronization of complex networks with time-varying outer coupling and nonlinear multiple time-varying delay coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).

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