F. Zhao - Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, China
J. Jian - Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, China

This paper deals with the issues of the finite-time synchronization (FTS) for a class of fractional-order fuzzy Cohen-Grossberg neural networks (FOFCGNNs) with time delay. Based on the finite-time stability theory,  fractional-order Razumikhin theorem and applying fractional-order differential inequalities and other inequality techniques, a few new and effective criteria formulated by testable algebraic inequalities are derived to ensure the FTS for the concerned models via designing a discontinuous control strategy. Finally, two numerical simulations examples are furnished to demonstrate the feasibility and effectiveness of the derived theoreticalresults.

Fuzzy Cohen-Grossberg neural network, fractional-order, finite-time synchronization, fractional-order inequality, fractional-order Razumikhin-type theorem