为研究噪声和时滞对多智能体系统平均一致性产生的影响,建立了具有测量噪声的时滞多智能体系统的模型,利用随机微分方程的稳定性理论,得到了多智能体系统以概率1实现平均一致性的充分条件。针对时滞和噪声对多智能体系统一致性行为的影响进行了仿真实验,验证了理论结果的正确性。
To study the influence of noise and time delay on the average consensus of multi-agent systems, the model of time delay multi agent system with measurement noise was established. Using the stability theory of stochastic differen- tial equations, sufficient conditions for the almost surely average consensus were derived. The influence of time delay and noise on the consensus behavior of multi-agent system was simulated, and the correctness of the theoretical results was verified.