Delay-Tolerant for Stablity Second-Order Stochastic Systems with Multiplicative Noises

In this paper, a second-order stochastic multiagents system is investigated, a consensus control strategy is proposed, and a stable delay tolerance range for distributed system is established. The control strategy consider the multiplicative noises associated with the measurement information between the agents as well as the communication delay. First, the communication information between the agents with multiplicative noises and their internal topology are analyzed, and a consensus controller is designed. Then by Lyapunov direction method and Ito formula, we get the consensus condition of multi-intelligent system. And based on this condition, we study the delay tolerance problem of this system and find a stable delay bound to realize almost sure and mean square exponential stability within the delay tolerance.