Adaptive Consensus of the Stochastic Leader-Following Multi-Agent System with Time Delay

For the multi-agent system with time delay and noise, adaptive consensus of tracking control problems is discussed by Lyapunov function. The main purpose this study to design an protocol for system, such that even if there exists among agents, can still ensure stochastic system. contribution revise protocols were previously only applicable without delay. Because inevitably disrupted noise during interactive process, achieving coordination difficult. To enable followers track leader, a novel law depending on Riccati equation firstly proposed, different from previous mandatory completely known ability be altered online based state major feature law. When are between leader special function constructed prove consensus. And upper bound obtained using Itô integral theory. Finally, approaches zero, it shown ensures each follower tracks under simpler conditions.