Stability analysis of fractional-order Hopfield neural networks with discontinuous activation functions

Fractional-order Hopfield neural networks are often used to model the information processing of neuronal interactions. For a class of such networks with discontinuous activation functions, it is needed to investigate the existence and stability conditions of their solutions. Under the framework of Filippov solutions, a growth condition is firstly given to guarantee the existence of their solutions. Then, some sufficient conditions are proposed for the boundedness and stability of the solutions of such discontinuous networks by employing the Lyapunov functionals. Finally, a numerical example is presented to demonstrate the effectiveness of the theoretical results. (C) 2015 Elsevier B.V. All rights reserved.