带有噪声和时滞的二阶多智能体的一致性  

Consensus of Second-Order Multi-Agent Systems with Noises and Time Delays

作　　者：叶志勇[1] 季慧慧[1] 张贺[2] 张华[1,3] 

机构地区：[1]重庆理工大学数学与统计学院,重庆400054 [2]百色学院数学与统计学院,广西百色533000 [3]铜仁学院大数据学院,贵州铜仁554300

出　　处：《南京师大学报（自然科学版）》2017年第2期7-11,30,共6页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11401062;61374104;61364003;KJ1500915)

摘　　要：研究了随机二阶时滞多智能体系统的几乎必然指数一致性问题.同时考虑了由Browian运动所导致的随机扰动和系统节点时间延迟两种情况.首先,建立随机二阶时滞多智能体系统的误差动力系统.其次,通过建立适当的Lyapunov泛函,并结合随机分析理论、控制技术以及线性矩阵不等式,从而得到了确保系统达到几乎必然指数一致性的充分性条件.最后,数值仿真的例子证实了所得结论的有效性.Almost sure exponential consensus of stochastic second-order multi-agent systems with time delays is studied. The multi-agent systems consider both the stochastic disturbance governed by Bronwian motion and the time delays. First of all,the error dynamic system of second-order multi-agent systems is established. Then by constructing suitable Lyapunov functional and combining with stochastic analysis theory, control technique as well as linear matrix inequality technique, as a result,the sufficient conditions for guaranteeing almost sure exponential consensus of the systems are derived. Last but not to the least, simulation examples are presented to demonstrate the effectiveness of the obtained results.

关 键 词：多智能体系统 几乎必然指数一致 时滞 随机扰动 

分 类 号：O29[理学—应用数学]