State Estimation-Based Event-Triggered $H_\infty$ Control for Multi-Delay Stochastic Network Control System

In this paper, the stability and stabilization problems are investigated for a class of event-triggered multiple time delays network control systems. Under the conditions of the event-triggered scheme and the system state estimation, the delays in the controlled object and the network transmission delay are both taken into account in the hybrid stochastic network control system by the free weighting matrix method and the integral inequality method. This paper will construct a new Lyapunov-Krasovskii functional and linear matrix inequality to analyze the problems. Finally, two numerical examples are provided to prove the effective performance of the multi-delay stochastic network control system.