<p>This article discusses a question about the global Mittag-Leffler lag projection synchronization (GMLLPS) for a class of delayed fractional order Cohen-Grossberg fuzzy neural networks (FOCGFNNs). Firstly, the novel model of delayed FOCGFNNs is proposed, which is the sense of Caputo derivative. Secondly, two types of controllers with the sign function are designed. Applying Lyapunov’s direct method for functions, differential mean-value theorem, inequality techniques and Razumikhin theorem, some conditions for the GMLLPS of FOCGFNNs are derived. Eventually, the usefulness of the main results presented is further tested by simulations.</p>

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Global Mittag-Leffler Lag Projective Synchronization for Caputo-type Delayed Cohen-Grossberg Fuzzy Neural Networks

  • Hongmei Zhang,
  • Xiangnian Yin,
  • Hai Zhang,
  • Weiwei Zhang

摘要

This article discusses a question about the global Mittag-Leffler lag projection synchronization (GMLLPS) for a class of delayed fractional order Cohen-Grossberg fuzzy neural networks (FOCGFNNs). Firstly, the novel model of delayed FOCGFNNs is proposed, which is the sense of Caputo derivative. Secondly, two types of controllers with the sign function are designed. Applying Lyapunov’s direct method for functions, differential mean-value theorem, inequality techniques and Razumikhin theorem, some conditions for the GMLLPS of FOCGFNNs are derived. Eventually, the usefulness of the main results presented is further tested by simulations.