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The Module-Phase Synchronization of Complex-Valued Neural Networks with Time-Varying Delay and Stochastic Perturbations

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Abstract

The problem of exponential module-phase synchronization of complex-valued neural networks (CVNNs) with time-varying delay and stochastic perturbations was investigated. The model of CVNNs with time-varying delay and stochastic perturbations was considered. The error system was deduced and the module-phase synchronization was defined. Based on the principle of Lyapunov stability theory, the appropriate controller was designed to control the CVNNs. Finally, the effectiveness and reliability of the method were verified by the numerical simulations.

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Authors and Affiliations

  1. School of Computer & Communication, Lanzhou University of Technology, Lanzhou, 730050, China

    Fuzhong Nian & Jia Li

Authors
  1. Fuzhong Nian
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  2. Jia Li
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Correspondence to Fuzhong Nian.

Additional information

This research is supported by the National Natural Science Foundation of China under Grant No. 61863025, International S & T Cooperation Projects of Gansu province under Grant No. 144WCGA166, and Longyuan Young Innovation Talents and the Doctoral Foundation of LUT.

This paper was recommended for publication by Editor SUN Jian.

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Nian, F., Li, J. The Module-Phase Synchronization of Complex-Valued Neural Networks with Time-Varying Delay and Stochastic Perturbations. J Syst Sci Complex 34, 2139–2154 (2021). https://doi.org/10.1007/s11424-021-9024-8

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  • DOI: https://doi.org/10.1007/s11424-021-9024-8

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