Decentralized event-triggered control for interconnected time-delay stochastic nonlinear systems using neural networks

This paper focuses on the problem of decentralized event-triggered control for a class of interconnected time delay stochastic nonlinear systems with unmodeled dynamics. In order to ensure that the outputs of systems satisfie the prescribed performance, a funnel performance variable is introduced. By using neural network approximation theory and backstepping method, the controller and its event triggered mechanism are co-designed. Based on Lyapunov stability theory and changing supply functions idea, it is proved that all the signals of the overall closed-loop system with the designed controller are bounded in probability. Finally, a numerical simulation is presented to illustrate the effectiveness of the proposed method.