Sliding Mode Control for Recurrent Neural Networks With Time-Varying Delays and Impulsive Effects

Dear Editor, This letter studies the problem of sliding mode control (SMC) design for recurrent neural networks (RNNs) with impulsive disturbances and time-varying transmission delays. To this end, an appropriate integral sliding surface function and SMC law are adopted for use under impulsive disturbances and time-varying delays. Then, based on the finite-time stability and the discontinuous Lyapunov analysis method, the finite-time reachability of the designed sliding surface and the exponential stability of the resulting sliding mode dynamic are analyzed respectively. Finally, a numerical example is presented to illustrate the effectiveness of the proposed results.