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

NIAN Fuzhong · LI Jia

系统科学与复杂性(英文) ›› 2021, Vol. 34 ›› Issue (6) : 2139-2154.

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PDF(539 KB)
系统科学与复杂性(英文) ›› 2021, Vol. 34 ›› Issue (6) : 2139-2154. DOI: 10.1007/s11424-021-9024-8

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

    NIAN Fuzhong · LI Jia
作者信息 +

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

    NIAN Fuzhong · LI Jia
Author information +
文章历史 +

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.

Key words

Complex-valued neural networks, exponential module-phase synchronization, Lyapunov  / function, time-varying delay.

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NIAN Fuzhong · LI Jia. The Module-Phase Synchronization of Complex-Valued Neural Networks with Time-Varying Delay and Stochastic Perturbations. 系统科学与复杂性(英文), 2021, 34(6): 2139-2154 https://doi.org/10.1007/s11424-021-9024-8
NIAN Fuzhong · LI Jia. The Module-Phase Synchronization of Complex-Valued Neural Networks with Time-Varying Delay and Stochastic Perturbations. Journal of Systems Science and Complexity, 2021, 34(6): 2139-2154 https://doi.org/10.1007/s11424-021-9024-8
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