4.5 Article

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

Journal

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
Volume 34, Issue 6, Pages 2139-2154

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s11424-021-9024-8

Keywords

Complex-valued neural networks; exponential module-phase synchronization; Lyapunov function; time-varying delay

Funding

  1. National Natural Science Foundation of China [61863025]
  2. International S & T Cooperation Projects of Gansu province [144WCGA166]
  3. Longyuan Young Innovation Talents and the Doctoral Foundation of LUT

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The problem of exponential module-phase synchronization of complex-valued neural networks with time-varying delay and stochastic perturbations was investigated. The appropriate controller was designed based on Lyapunov stability theory to control the networks, and the effectiveness and reliability of the method were verified through numerical simulations.
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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