This article investigates the intermittent event-triggered optimal leader-following consensus for nonlinear multi-agent systems (MASs) utilizing the actor-critic algorithm. First, we propose a novel distributed intermittent event-triggered control strategy, and a sufficient criterion is obtained to guarantee the leader-following consensus of MASs by establishing a novel piecewise differential inequality. Next, the intermittent event-triggered optimal control strategy is delicately given. Remarkably, the optimality of MASs is proven based on policy iteration and the convergence of the closed-loop system is also proved based on the Lyapunov stability theory. Then, the intermittent event-triggered approximate optimal control strategy is designed via an actor-critic network whose weights are only updated at the trigger instants. Furthermore, the Zeno behavior can be excluded in this article. Finally, two simulation examples further verify the effectiveness of the proposed scheme.

This paper established the vector Razumikhin-type theorem on exponential stability for stochastic functional differential systems by the stochastic analysis techniques and the property of ${M}$ -Matrix. Several novel stability criteria with vector $ {\mathscr {L}}$ -operator differential inequalities for stochastic delay differential systems, especially some of which includes the cross-item, were obtained by means of the vector Razumikhin theorem. By applying these new results, the robustness of global exponential stability of delay recurrent neural networks to random disturbed has been analyzed.

In this article, the optimal leader-following consensus of nonlinear second-order delayed multiagent systems with input constraints is addressed. To begin with, a novel intermittent event-triggered (IET) control protocol is proposed, and a novel time-delay piecewise differential inequality is established to effectively integrate state delay, intermittent control, and event-triggered strategy. Then, by the proposed control protocol and inequality, two criteria for the consensus of the second-order delayed multiagent systems and its optimality under input saturation are derived successively. Furthermore, a constrained-input policy iteration algorithm and a critic-only online reinforcement learning algorithm are devised for designing IET optimal control and approximate IET optimal controller, respectively. Finally, two numerical examples are created to verify the efficacy of the basic research.