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

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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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Authors and Affiliations

  1. College of Energy and Electrical Engineering, Hohai University, Nanjing, 210098, People’s Republic of China

    Zhaoxia Duan

  2. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Jian Shen

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  1. Zhaoxia Duan
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  2. Jian Shen
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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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  • DOI: https://doi.org/10.1007/s11045-017-0545-1

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