Sliding Mode Control for Recurrent Neural Networks With Time-Varying Delays and Impulsive Effects
Lanfeng Hua, Kaibo Shi, Zheng‐Guang Wu, Soohee Han, Shouming Zhong
Abstract
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.
Topics & Concepts
ReachabilityControl theory (sociology)Sliding mode controlLyapunov functionArtificial neural networkComputer scienceMode (computer interface)Recurrent neural networkStability (learning theory)Exponential stabilityMathematicsControl (management)AlgorithmArtificial intelligenceNonlinear systemPhysicsMachine learningQuantum mechanicsOperating systemNeural Networks Stability and SynchronizationAdaptive Control of Nonlinear SystemsStability and Control of Uncertain Systems