IJCAS

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 meanvalue 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.

Keywords: Caputo derivative, Cohen-Grossberg neural networks, fuzzy term, global Mittag-Leffler lag projective synchronization.