Synchronization problem of 2-D coupled dynamical networks with communication delays and missing measurements

Abstract

This study addresses a synchronization problem for an array of discrete-time two-dimensional (2-D) coupled dynamical networks with time-varying communication delays and missing measurements, which is oriented from the well-known Roesser model. For such a 2-D complex network model, both network dynamics and couplings evolve in two independent directions. The missing measurements are described by a binary switching sequence satisfying a conditional probability distribution. The purpose of this study is to establish sufficient easy-to-verify conditions ensuring the global mean-square synchronization through constructing an energy-like Lyapunov–Krasovskii function, making use of the Kronecker product and applying some stochastic analysis techniques. Finally, two simulation examples are presented to illustrate the effectiveness of the proposed synchronization scheme.

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Acknowledgements

This work was supported by National Natural Science Foundation of China under Grant No. 61703137, and the Fundamental Research Funds for the Central Universities under Grant No. 2017B01814.

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Correspondence to Zhaoxia Duan.

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Duan, Z., Shen, J. Synchronization problem of 2-D coupled dynamical networks with communication delays and missing measurements. Multidim Syst Sign Process 30, 39–67 (2019). https://doi.org/10.1007/s11045-017-0545-1

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Keywords

  • Two-dimensional networks
  • Time-varying communication delay
  • Mean-square synchronization
  • Missing measurement