Quasi-Finite-Time Synchronization of Fractional-Order Coupled Neural Networks with Multiple Output Couplings and Disturbances

Abstract

The finite-time synchronization of fractional-order coupled neural networks (FCNNs) is investigated in this paper. A model with multiple output coupling weights and external disturbances is considered, which is a generalized form of frequently used FCNNs with state coupling. In addition, a criterion that can be used to judge whether fractional-order systems are practically finite-time stable is proposed. Furthermore, an adaptive controller is synthesized to ensure the practical finite-time synchronization of FCNNs based on this criterion and the linear matrix inequality technique, and the upper bound of the setting time can be estimated. Finally, a simulation example is provided to illustrate the plausibility of the obtained results.